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Finding the Third Proportional to 615,796 and 980,610

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Solution

The third proportional to 615,796 and 980,610 is: 1,561,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,796 : 980,610 = 980,610 : x
  2. Step 2: Convert to fraction form
    615,796/980,610 = 980,610/x
  3. Step 3: Cross multiply
    615,796x = 980,610 × 980,610
  4. Step 4: Simplify right side
    615,796x = 961,595,972,100
  5. Step 5: Solve for x
    x = 961,595,972,100/615,796
  6. Step 6: Final answer
    x = 1,561,549.56

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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.