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Finding the Third Proportional to 1,234,615.50 and 2,695,464

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Solution

The third proportional to 1,234,615.50 and 2,695,464 is: 5,884,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,615.50 : 2,695,464 = 2,695,464 : x
  2. Step 2: Convert to fraction form
    1,234,615.50/2,695,464 = 2,695,464/x
  3. Step 3: Cross multiply
    1,234,615.50x = 2,695,464 × 2,695,464
  4. Step 4: Simplify right side
    1,234,615.50x = 7,265,526,175,296
  5. Step 5: Solve for x
    x = 7,265,526,175,296/1,234,615.50
  6. Step 6: Final answer
    x = 5,884,849.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.