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Finding the Third Proportional to 609,228,880 and 928,127,832

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Solution

The third proportional to 609,228,880 and 928,127,832 is: 1,413,953,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,228,880 : 928,127,832 = 928,127,832 : x
  2. Step 2: Convert to fraction form
    609,228,880/928,127,832 = 928,127,832/x
  3. Step 3: Cross multiply
    609,228,880x = 928,127,832 × 928,127,832
  4. Step 4: Simplify right side
    609,228,880x = 861,421,272,533,020,160
  5. Step 5: Solve for x
    x = 861,421,272,533,020,160/609,228,880
  6. Step 6: Final answer
    x = 1,413,953,443.13

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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.