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Finding the Third Proportional to 714,438.14 and 1,541,051.16

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Solution

The third proportional to 714,438.14 and 1,541,051.16 is: 3,324,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,438.14 : 1,541,051.16 = 1,541,051.16 : x
  2. Step 2: Convert to fraction form
    714,438.14/1,541,051.16 = 1,541,051.16/x
  3. Step 3: Cross multiply
    714,438.14x = 1,541,051.16 × 1,541,051.16
  4. Step 4: Simplify right side
    714,438.14x = 2,374,838,666,179.46
  5. Step 5: Solve for x
    x = 2,374,838,666,179.46/714,438.14
  6. Step 6: Final answer
    x = 3,324,064.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.