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Finding the Third Proportional to 1,229,598 and 2,520,432

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Solution

The third proportional to 1,229,598 and 2,520,432 is: 5,166,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,598 : 2,520,432 = 2,520,432 : x
  2. Step 2: Convert to fraction form
    1,229,598/2,520,432 = 2,520,432/x
  3. Step 3: Cross multiply
    1,229,598x = 2,520,432 × 2,520,432
  4. Step 4: Simplify right side
    1,229,598x = 6,352,577,466,624
  5. Step 5: Solve for x
    x = 6,352,577,466,624/1,229,598
  6. Step 6: Final answer
    x = 5,166,385.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.