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Finding the Third Proportional to 680,423 and 1,000,950

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Solution

The third proportional to 680,423 and 1,000,950 is: 1,472,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,423 : 1,000,950 = 1,000,950 : x
  2. Step 2: Convert to fraction form
    680,423/1,000,950 = 1,000,950/x
  3. Step 3: Cross multiply
    680,423x = 1,000,950 × 1,000,950
  4. Step 4: Simplify right side
    680,423x = 1,001,900,902,500
  5. Step 5: Solve for x
    x = 1,001,900,902,500/680,423
  6. Step 6: Final answer
    x = 1,472,467.72

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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.