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Finding the Third Proportional to 2,842,462.13 and 4,373,478.56

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Solution

The third proportional to 2,842,462.13 and 4,373,478.56 is: 6,729,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,462.13 : 4,373,478.56 = 4,373,478.56 : x
  2. Step 2: Convert to fraction form
    2,842,462.13/4,373,478.56 = 4,373,478.56/x
  3. Step 3: Cross multiply
    2,842,462.13x = 4,373,478.56 × 4,373,478.56
  4. Step 4: Simplify right side
    2,842,462.13x = 19,127,314,736,647.07
  5. Step 5: Solve for x
    x = 19,127,314,736,647.07/2,842,462.13
  6. Step 6: Final answer
    x = 6,729,136.18

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