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Finding the Third Proportional to 489,654 and 749,061

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Solution

The third proportional to 489,654 and 749,061 is: 1,145,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,654 : 749,061 = 749,061 : x
  2. Step 2: Convert to fraction form
    489,654/749,061 = 749,061/x
  3. Step 3: Cross multiply
    489,654x = 749,061 × 749,061
  4. Step 4: Simplify right side
    489,654x = 561,092,381,721
  5. Step 5: Solve for x
    x = 561,092,381,721/489,654
  6. Step 6: Final answer
    x = 1,145,895.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.