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Finding the Third Proportional to 656,070 and 980,682

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Solution

The third proportional to 656,070 and 980,682 is: 1,465,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,070 : 980,682 = 980,682 : x
  2. Step 2: Convert to fraction form
    656,070/980,682 = 980,682/x
  3. Step 3: Cross multiply
    656,070x = 980,682 × 980,682
  4. Step 4: Simplify right side
    656,070x = 961,737,185,124
  5. Step 5: Solve for x
    x = 961,737,185,124/656,070
  6. Step 6: Final answer
    x = 1,465,906.36

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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.