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Finding the Third Proportional to 832,665 and 1,730,781

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Solution

The third proportional to 832,665 and 1,730,781 is: 3,597,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,665 : 1,730,781 = 1,730,781 : x
  2. Step 2: Convert to fraction form
    832,665/1,730,781 = 1,730,781/x
  3. Step 3: Cross multiply
    832,665x = 1,730,781 × 1,730,781
  4. Step 4: Simplify right side
    832,665x = 2,995,602,869,961
  5. Step 5: Solve for x
    x = 2,995,602,869,961/832,665
  6. Step 6: Final answer
    x = 3,597,608.73

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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.