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Finding the Third Proportional to 569,641 and 1,229,348

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Solution

The third proportional to 569,641 and 1,229,348 is: 2,653,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,641 : 1,229,348 = 1,229,348 : x
  2. Step 2: Convert to fraction form
    569,641/1,229,348 = 1,229,348/x
  3. Step 3: Cross multiply
    569,641x = 1,229,348 × 1,229,348
  4. Step 4: Simplify right side
    569,641x = 1,511,296,505,104
  5. Step 5: Solve for x
    x = 1,511,296,505,104/569,641
  6. Step 6: Final answer
    x = 2,653,068.34

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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.