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Finding the Third Proportional to 569,640 and 1,229,346

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Solution

The third proportional to 569,640 and 1,229,346 is: 2,653,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,640 : 1,229,346 = 1,229,346 : x
  2. Step 2: Convert to fraction form
    569,640/1,229,346 = 1,229,346/x
  3. Step 3: Cross multiply
    569,640x = 1,229,346 × 1,229,346
  4. Step 4: Simplify right side
    569,640x = 1,511,291,587,716
  5. Step 5: Solve for x
    x = 1,511,291,587,716/569,640
  6. Step 6: Final answer
    x = 2,653,064.37

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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.