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Finding the Third Proportional to 710,676 and 939,006

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Solution

The third proportional to 710,676 and 939,006 is: 1,240,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,676 : 939,006 = 939,006 : x
  2. Step 2: Convert to fraction form
    710,676/939,006 = 939,006/x
  3. Step 3: Cross multiply
    710,676x = 939,006 × 939,006
  4. Step 4: Simplify right side
    710,676x = 881,732,268,036
  5. Step 5: Solve for x
    x = 881,732,268,036/710,676
  6. Step 6: Final answer
    x = 1,240,695.15

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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.