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Finding the Third Proportional to 609,455,758.50 and 928,442,877.75

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Solution

The third proportional to 609,455,758.50 and 928,442,877.75 is: 1,414,386,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,455,758.50 : 928,442,877.75 = 928,442,877.75 : x
  2. Step 2: Convert to fraction form
    609,455,758.50/928,442,877.75 = 928,442,877.75/x
  3. Step 3: Cross multiply
    609,455,758.50x = 928,442,877.75 × 928,442,877.75
  4. Step 4: Simplify right side
    609,455,758.50x = 862,006,177,244,701,440
  5. Step 5: Solve for x
    x = 862,006,177,244,701,440/609,455,758.50
  6. Step 6: Final answer
    x = 1,414,386,795.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.