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Finding the Third Proportional to 683,585 and 1,472,353

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Solution

The third proportional to 683,585 and 1,472,353 is: 3,171,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,585 : 1,472,353 = 1,472,353 : x
  2. Step 2: Convert to fraction form
    683,585/1,472,353 = 1,472,353/x
  3. Step 3: Cross multiply
    683,585x = 1,472,353 × 1,472,353
  4. Step 4: Simplify right side
    683,585x = 2,167,823,356,609
  5. Step 5: Solve for x
    x = 2,167,823,356,609/683,585
  6. Step 6: Final answer
    x = 3,171,256.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.