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Finding the Third Proportional to 683,584 and 1,472,352

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Solution

The third proportional to 683,584 and 1,472,352 is: 3,171,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,584 : 1,472,352 = 1,472,352 : x
  2. Step 2: Convert to fraction form
    683,584/1,472,352 = 1,472,352/x
  3. Step 3: Cross multiply
    683,584x = 1,472,352 × 1,472,352
  4. Step 4: Simplify right side
    683,584x = 2,167,820,411,904
  5. Step 5: Solve for x
    x = 2,167,820,411,904/683,584
  6. Step 6: Final answer
    x = 3,171,256.81

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Why These Related Problems?

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