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Finding the Third Proportional to 710,613 and 1,092,267

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Solution

The third proportional to 710,613 and 1,092,267 is: 1,678,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,613 : 1,092,267 = 1,092,267 : x
  2. Step 2: Convert to fraction form
    710,613/1,092,267 = 1,092,267/x
  3. Step 3: Cross multiply
    710,613x = 1,092,267 × 1,092,267
  4. Step 4: Simplify right side
    710,613x = 1,193,047,199,289
  5. Step 5: Solve for x
    x = 1,193,047,199,289/710,613
  6. Step 6: Final answer
    x = 1,678,898.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.