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Finding the Third Proportional to 832,654.69 and 1,730,759.91

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Solution

The third proportional to 832,654.69 and 1,730,759.91 is: 3,597,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,654.69 : 1,730,759.91 = 1,730,759.91 : x
  2. Step 2: Convert to fraction form
    832,654.69/1,730,759.91 = 1,730,759.91/x
  3. Step 3: Cross multiply
    832,654.69x = 1,730,759.91 × 1,730,759.91
  4. Step 4: Simplify right side
    832,654.69x = 2,995,529,853,082.51
  5. Step 5: Solve for x
    x = 2,995,529,853,082.51/832,654.69
  6. Step 6: Final answer
    x = 3,597,565.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.