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Finding the Third Proportional to 489,866 and 749,343

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Solution

The third proportional to 489,866 and 749,343 is: 1,146,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,866 : 749,343 = 749,343 : x
  2. Step 2: Convert to fraction form
    489,866/749,343 = 749,343/x
  3. Step 3: Cross multiply
    489,866x = 749,343 × 749,343
  4. Step 4: Simplify right side
    489,866x = 561,514,931,649
  5. Step 5: Solve for x
    x = 561,514,931,649/489,866
  6. Step 6: Final answer
    x = 1,146,262.31

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