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Finding the Third Proportional to 976,792.50 and 1,509,472.13

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Solution

The third proportional to 976,792.50 and 1,509,472.13 is: 2,332,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,792.50 : 1,509,472.13 = 1,509,472.13 : x
  2. Step 2: Convert to fraction form
    976,792.50/1,509,472.13 = 1,509,472.13/x
  3. Step 3: Cross multiply
    976,792.50x = 1,509,472.13 × 1,509,472.13
  4. Step 4: Simplify right side
    976,792.50x = 2,278,506,096,152.02
  5. Step 5: Solve for x
    x = 2,278,506,096,152.02/976,792.50
  6. Step 6: Final answer
    x = 2,332,640.86

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