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Finding the Third Proportional to 2,842,480.13 and 4,373,506.13

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Solution

The third proportional to 2,842,480.13 and 4,373,506.13 is: 6,729,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,480.13 : 4,373,506.13 = 4,373,506.13 : x
  2. Step 2: Convert to fraction form
    2,842,480.13/4,373,506.13 = 4,373,506.13/x
  3. Step 3: Cross multiply
    2,842,480.13x = 4,373,506.13 × 4,373,506.13
  4. Step 4: Simplify right side
    2,842,480.13x = 19,127,555,825,412.52
  5. Step 5: Solve for x
    x = 19,127,555,825,412.52/2,842,480.13
  6. Step 6: Final answer
    x = 6,729,178.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.