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Finding the Third Proportional to 710,654 and 938,973

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Solution

The third proportional to 710,654 and 938,973 is: 1,240,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,654 : 938,973 = 938,973 : x
  2. Step 2: Convert to fraction form
    710,654/938,973 = 938,973/x
  3. Step 3: Cross multiply
    710,654x = 938,973 × 938,973
  4. Step 4: Simplify right side
    710,654x = 881,670,294,729
  5. Step 5: Solve for x
    x = 881,670,294,729/710,654
  6. Step 6: Final answer
    x = 1,240,646.35

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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.