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Finding the Third Proportional to 812,542 and 1,257,514

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Solution

The third proportional to 812,542 and 1,257,514 is: 1,946,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,542 : 1,257,514 = 1,257,514 : x
  2. Step 2: Convert to fraction form
    812,542/1,257,514 = 1,257,514/x
  3. Step 3: Cross multiply
    812,542x = 1,257,514 × 1,257,514
  4. Step 4: Simplify right side
    812,542x = 1,581,341,460,196
  5. Step 5: Solve for x
    x = 1,581,341,460,196/812,542
  6. Step 6: Final answer
    x = 1,946,165.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.