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Finding the Third Proportional to 569,292 and 1,238,808

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Solution

The third proportional to 569,292 and 1,238,808 is: 2,695,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,292 : 1,238,808 = 1,238,808 : x
  2. Step 2: Convert to fraction form
    569,292/1,238,808 = 1,238,808/x
  3. Step 3: Cross multiply
    569,292x = 1,238,808 × 1,238,808
  4. Step 4: Simplify right side
    569,292x = 1,534,645,260,864
  5. Step 5: Solve for x
    x = 1,534,645,260,864/569,292
  6. Step 6: Final answer
    x = 2,695,708.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.