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Finding the Third Proportional to 987,728 and 1,475,088

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Solution

The third proportional to 987,728 and 1,475,088 is: 2,202,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,728 : 1,475,088 = 1,475,088 : x
  2. Step 2: Convert to fraction form
    987,728/1,475,088 = 1,475,088/x
  3. Step 3: Cross multiply
    987,728x = 1,475,088 × 1,475,088
  4. Step 4: Simplify right side
    987,728x = 2,175,884,607,744
  5. Step 5: Solve for x
    x = 2,175,884,607,744/987,728
  6. Step 6: Final answer
    x = 2,202,918.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.