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Finding the Third Proportional to 832,755 and 1,730,932.50

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Solution

The third proportional to 832,755 and 1,730,932.50 is: 3,597,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,755 : 1,730,932.50 = 1,730,932.50 : x
  2. Step 2: Convert to fraction form
    832,755/1,730,932.50 = 1,730,932.50/x
  3. Step 3: Cross multiply
    832,755x = 1,730,932.50 × 1,730,932.50
  4. Step 4: Simplify right side
    832,755x = 2,996,127,319,556.25
  5. Step 5: Solve for x
    x = 2,996,127,319,556.25/832,755
  6. Step 6: Final answer
    x = 3,597,849.69

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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.