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Finding the Third Proportional to 847,532 and 1,829,503

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Solution

The third proportional to 847,532 and 1,829,503 is: 3,949,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,532 : 1,829,503 = 1,829,503 : x
  2. Step 2: Convert to fraction form
    847,532/1,829,503 = 1,829,503/x
  3. Step 3: Cross multiply
    847,532x = 1,829,503 × 1,829,503
  4. Step 4: Simplify right side
    847,532x = 3,347,081,227,009
  5. Step 5: Solve for x
    x = 3,347,081,227,009/847,532
  6. Step 6: Final answer
    x = 3,949,209.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.