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Finding the Third Proportional to 1,087,242.75 and 2,361,322.13

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Solution

The third proportional to 1,087,242.75 and 2,361,322.13 is: 5,128,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087,242.75 : 2,361,322.13 = 2,361,322.13 : x
  2. Step 2: Convert to fraction form
    1,087,242.75/2,361,322.13 = 2,361,322.13/x
  3. Step 3: Cross multiply
    1,087,242.75x = 2,361,322.13 × 2,361,322.13
  4. Step 4: Simplify right side
    1,087,242.75x = 5,575,842,178,014.52
  5. Step 5: Solve for x
    x = 5,575,842,178,014.52/1,087,242.75
  6. Step 6: Final answer
    x = 5,128,424.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.