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Finding the Third Proportional to 680,425 and 1,000,953

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Solution

The third proportional to 680,425 and 1,000,953 is: 1,472,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,425 : 1,000,953 = 1,000,953 : x
  2. Step 2: Convert to fraction form
    680,425/1,000,953 = 1,000,953/x
  3. Step 3: Cross multiply
    680,425x = 1,000,953 × 1,000,953
  4. Step 4: Simplify right side
    680,425x = 1,001,906,908,209
  5. Step 5: Solve for x
    x = 1,001,906,908,209/680,425
  6. Step 6: Final answer
    x = 1,472,472.22

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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.