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Finding the Third Proportional to 832,657 and 1,730,764

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Solution

The third proportional to 832,657 and 1,730,764 is: 3,597,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,657 : 1,730,764 = 1,730,764 : x
  2. Step 2: Convert to fraction form
    832,657/1,730,764 = 1,730,764/x
  3. Step 3: Cross multiply
    832,657x = 1,730,764 × 1,730,764
  4. Step 4: Simplify right side
    832,657x = 2,995,544,023,696
  5. Step 5: Solve for x
    x = 2,995,544,023,696/832,657
  6. Step 6: Final answer
    x = 3,597,572.62

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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.