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Finding the Third Proportional to 710,646 and 938,961

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Solution

The third proportional to 710,646 and 938,961 is: 1,240,628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,646 : 938,961 = 938,961 : x
  2. Step 2: Convert to fraction form
    710,646/938,961 = 938,961/x
  3. Step 3: Cross multiply
    710,646x = 938,961 × 938,961
  4. Step 4: Simplify right side
    710,646x = 881,647,759,521
  5. Step 5: Solve for x
    x = 881,647,759,521/710,646
  6. Step 6: Final answer
    x = 1,240,628.61

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.