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Finding the Third Proportional to 426,637.13 and 913,996.41

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Solution

The third proportional to 426,637.13 and 913,996.41 is: 1,958,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,637.13 : 913,996.41 = 913,996.41 : x
  2. Step 2: Convert to fraction form
    426,637.13/913,996.41 = 913,996.41/x
  3. Step 3: Cross multiply
    426,637.13x = 913,996.41 × 913,996.41
  4. Step 4: Simplify right side
    426,637.13x = 835,389,430,637.92
  5. Step 5: Solve for x
    x = 835,389,430,637.92/426,637.13
  6. Step 6: Final answer
    x = 1,958,079.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.