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Finding the Third Proportional to 616,034 and 902,703

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Solution

The third proportional to 616,034 and 902,703 is: 1,322,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,034 : 902,703 = 902,703 : x
  2. Step 2: Convert to fraction form
    616,034/902,703 = 902,703/x
  3. Step 3: Cross multiply
    616,034x = 902,703 × 902,703
  4. Step 4: Simplify right side
    616,034x = 814,872,706,209
  5. Step 5: Solve for x
    x = 814,872,706,209/616,034
  6. Step 6: Final answer
    x = 1,322,772.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.