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Finding the Third Proportional to 676,098 and 1,012,032

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Solution

The third proportional to 676,098 and 1,012,032 is: 1,514,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,098 : 1,012,032 = 1,012,032 : x
  2. Step 2: Convert to fraction form
    676,098/1,012,032 = 1,012,032/x
  3. Step 3: Cross multiply
    676,098x = 1,012,032 × 1,012,032
  4. Step 4: Simplify right side
    676,098x = 1,024,208,769,024
  5. Step 5: Solve for x
    x = 1,024,208,769,024/676,098
  6. Step 6: Final answer
    x = 1,514,882.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.