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Finding the Third Proportional to 656,019.25 and 1,071,220.38

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Solution

The third proportional to 656,019.25 and 1,071,220.38 is: 1,749,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,019.25 : 1,071,220.38 = 1,071,220.38 : x
  2. Step 2: Convert to fraction form
    656,019.25/1,071,220.38 = 1,071,220.38/x
  3. Step 3: Cross multiply
    656,019.25x = 1,071,220.38 × 1,071,220.38
  4. Step 4: Simplify right side
    656,019.25x = 1,147,513,091,815.14
  5. Step 5: Solve for x
    x = 1,147,513,091,815.14/656,019.25
  6. Step 6: Final answer
    x = 1,749,206.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.