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Finding the Third Proportional to 646,479 and 1,023,165

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Solution

The third proportional to 646,479 and 1,023,165 is: 1,619,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,479 : 1,023,165 = 1,023,165 : x
  2. Step 2: Convert to fraction form
    646,479/1,023,165 = 1,023,165/x
  3. Step 3: Cross multiply
    646,479x = 1,023,165 × 1,023,165
  4. Step 4: Simplify right side
    646,479x = 1,046,866,617,225
  5. Step 5: Solve for x
    x = 1,046,866,617,225/646,479
  6. Step 6: Final answer
    x = 1,619,335.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.