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Finding the Third Proportional to 560,320 and 1,229,432

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Solution

The third proportional to 560,320 and 1,229,432 is: 2,697,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,320 : 1,229,432 = 1,229,432 : x
  2. Step 2: Convert to fraction form
    560,320/1,229,432 = 1,229,432/x
  3. Step 3: Cross multiply
    560,320x = 1,229,432 × 1,229,432
  4. Step 4: Simplify right side
    560,320x = 1,511,503,042,624
  5. Step 5: Solve for x
    x = 1,511,503,042,624/560,320
  6. Step 6: Final answer
    x = 2,697,571.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.