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Finding the Third Proportional to 1,243,159.50 and 1,754,712

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Solution

The third proportional to 1,243,159.50 and 1,754,712 is: 2,476,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,159.50 : 1,754,712 = 1,754,712 : x
  2. Step 2: Convert to fraction form
    1,243,159.50/1,754,712 = 1,754,712/x
  3. Step 3: Cross multiply
    1,243,159.50x = 1,754,712 × 1,754,712
  4. Step 4: Simplify right side
    1,243,159.50x = 3,079,014,202,944
  5. Step 5: Solve for x
    x = 3,079,014,202,944/1,243,159.50
  6. Step 6: Final answer
    x = 2,476,765.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.