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Finding the Third Proportional to 569,649 and 1,229,363

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Solution

The third proportional to 569,649 and 1,229,363 is: 2,653,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,649 : 1,229,363 = 1,229,363 : x
  2. Step 2: Convert to fraction form
    569,649/1,229,363 = 1,229,363/x
  3. Step 3: Cross multiply
    569,649x = 1,229,363 × 1,229,363
  4. Step 4: Simplify right side
    569,649x = 1,511,333,385,769
  5. Step 5: Solve for x
    x = 1,511,333,385,769/569,649
  6. Step 6: Final answer
    x = 2,653,095.83

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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.