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Finding the Third Proportional to 540,931.50 and 1,156,905

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Solution

The third proportional to 540,931.50 and 1,156,905 is: 2,474,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,931.50 : 1,156,905 = 1,156,905 : x
  2. Step 2: Convert to fraction form
    540,931.50/1,156,905 = 1,156,905/x
  3. Step 3: Cross multiply
    540,931.50x = 1,156,905 × 1,156,905
  4. Step 4: Simplify right side
    540,931.50x = 1,338,429,179,025
  5. Step 5: Solve for x
    x = 1,338,429,179,025/540,931.50
  6. Step 6: Final answer
    x = 2,474,304.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.