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Finding the Third Proportional to 829,877.13 and 1,690,207.25

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Solution

The third proportional to 829,877.13 and 1,690,207.25 is: 3,442,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,877.13 : 1,690,207.25 = 1,690,207.25 : x
  2. Step 2: Convert to fraction form
    829,877.13/1,690,207.25 = 1,690,207.25/x
  3. Step 3: Cross multiply
    829,877.13x = 1,690,207.25 × 1,690,207.25
  4. Step 4: Simplify right side
    829,877.13x = 2,856,800,547,952.56
  5. Step 5: Solve for x
    x = 2,856,800,547,952.56/829,877.13
  6. Step 6: Final answer
    x = 3,442,438.00

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.