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Finding the Third Proportional to 615,789.84 and 980,601.19

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Solution

The third proportional to 615,789.84 and 980,601.19 is: 1,561,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,789.84 : 980,601.19 = 980,601.19 : x
  2. Step 2: Convert to fraction form
    615,789.84/980,601.19 = 980,601.19/x
  3. Step 3: Cross multiply
    615,789.84x = 980,601.19 × 980,601.19
  4. Step 4: Simplify right side
    615,789.84x = 961,578,688,926.41
  5. Step 5: Solve for x
    x = 961,578,688,926.41/615,789.84
  6. Step 6: Final answer
    x = 1,561,537.10

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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.