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Finding the Third Proportional to 1,642,470.75 and 2,197,027.13

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Solution

The third proportional to 1,642,470.75 and 2,197,027.13 is: 2,938,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,470.75 : 2,197,027.13 = 2,197,027.13 : x
  2. Step 2: Convert to fraction form
    1,642,470.75/2,197,027.13 = 2,197,027.13/x
  3. Step 3: Cross multiply
    1,642,470.75x = 2,197,027.13 × 2,197,027.13
  4. Step 4: Simplify right side
    1,642,470.75x = 4,826,928,187,985.77
  5. Step 5: Solve for x
    x = 4,826,928,187,985.77/1,642,470.75
  6. Step 6: Final answer
    x = 2,938,821.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.