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Finding the Third Proportional to 680,424 and 1,000,951

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Solution

The third proportional to 680,424 and 1,000,951 is: 1,472,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,424 : 1,000,951 = 1,000,951 : x
  2. Step 2: Convert to fraction form
    680,424/1,000,951 = 1,000,951/x
  3. Step 3: Cross multiply
    680,424x = 1,000,951 × 1,000,951
  4. Step 4: Simplify right side
    680,424x = 1,001,902,904,401
  5. Step 5: Solve for x
    x = 1,001,902,904,401/680,424
  6. Step 6: Final answer
    x = 1,472,468.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.