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Finding the Third Proportional to 407,113.59 and 870,134.27

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Solution

The third proportional to 407,113.59 and 870,134.27 is: 1,859,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,113.59 : 870,134.27 = 870,134.27 : x
  2. Step 2: Convert to fraction form
    407,113.59/870,134.27 = 870,134.27/x
  3. Step 3: Cross multiply
    407,113.59x = 870,134.27 × 870,134.27
  4. Step 4: Simplify right side
    407,113.59x = 757,133,653,810.61
  5. Step 5: Solve for x
    x = 757,133,653,810.61/407,113.59
  6. Step 6: Final answer
    x = 1,859,760.19

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