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Finding the Third Proportional to 407,133 and 870,166.13

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Solution

The third proportional to 407,133 and 870,166.13 is: 1,859,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,133 : 870,166.13 = 870,166.13 : x
  2. Step 2: Convert to fraction form
    407,133/870,166.13 = 870,166.13/x
  3. Step 3: Cross multiply
    407,133x = 870,166.13 × 870,166.13
  4. Step 4: Simplify right side
    407,133x = 757,189,085,097.52
  5. Step 5: Solve for x
    x = 757,189,085,097.52/407,133
  6. Step 6: Final answer
    x = 1,859,807.69

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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.