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Finding the Third Proportional to 680,433 and 1,000,965

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Solution

The third proportional to 680,433 and 1,000,965 is: 1,472,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,433 : 1,000,965 = 1,000,965 : x
  2. Step 2: Convert to fraction form
    680,433/1,000,965 = 1,000,965/x
  3. Step 3: Cross multiply
    680,433x = 1,000,965 × 1,000,965
  4. Step 4: Simplify right side
    680,433x = 1,001,930,931,225
  5. Step 5: Solve for x
    x = 1,001,930,931,225/680,433
  6. Step 6: Final answer
    x = 1,472,490.21

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Why These Related Problems?

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