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Finding the Third Proportional to 615,799 and 980,619

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Solution

The third proportional to 615,799 and 980,619 is: 1,561,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,799 : 980,619 = 980,619 : x
  2. Step 2: Convert to fraction form
    615,799/980,619 = 980,619/x
  3. Step 3: Cross multiply
    615,799x = 980,619 × 980,619
  4. Step 4: Simplify right side
    615,799x = 961,613,623,161
  5. Step 5: Solve for x
    x = 961,613,623,161/615,799
  6. Step 6: Final answer
    x = 1,561,570.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.