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Finding the Third Proportional to 565,554 and 1,229,280

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Solution

The third proportional to 565,554 and 1,229,280 is: 2,671,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,554 : 1,229,280 = 1,229,280 : x
  2. Step 2: Convert to fraction form
    565,554/1,229,280 = 1,229,280/x
  3. Step 3: Cross multiply
    565,554x = 1,229,280 × 1,229,280
  4. Step 4: Simplify right side
    565,554x = 1,511,129,318,400
  5. Step 5: Solve for x
    x = 1,511,129,318,400/565,554
  6. Step 6: Final answer
    x = 2,671,945.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.