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Finding the Third Proportional to 718,142 and 1,092,137

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Solution

The third proportional to 718,142 and 1,092,137 is: 1,660,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,142 : 1,092,137 = 1,092,137 : x
  2. Step 2: Convert to fraction form
    718,142/1,092,137 = 1,092,137/x
  3. Step 3: Cross multiply
    718,142x = 1,092,137 × 1,092,137
  4. Step 4: Simplify right side
    718,142x = 1,192,763,226,769
  5. Step 5: Solve for x
    x = 1,192,763,226,769/718,142
  6. Step 6: Final answer
    x = 1,660,901.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.