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Finding the Third Proportional to 927,784.50 and 1,436,569

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Solution

The third proportional to 927,784.50 and 1,436,569 is: 2,224,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,784.50 : 1,436,569 = 1,436,569 : x
  2. Step 2: Convert to fraction form
    927,784.50/1,436,569 = 1,436,569/x
  3. Step 3: Cross multiply
    927,784.50x = 1,436,569 × 1,436,569
  4. Step 4: Simplify right side
    927,784.50x = 2,063,730,491,761
  5. Step 5: Solve for x
    x = 2,063,730,491,761/927,784.50
  6. Step 6: Final answer
    x = 2,224,364.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.