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Finding the Third Proportional to 681,652.13 and 1,437,112.13

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Solution

The third proportional to 681,652.13 and 1,437,112.13 is: 3,029,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,652.13 : 1,437,112.13 = 1,437,112.13 : x
  2. Step 2: Convert to fraction form
    681,652.13/1,437,112.13 = 1,437,112.13/x
  3. Step 3: Cross multiply
    681,652.13x = 1,437,112.13 × 1,437,112.13
  4. Step 4: Simplify right side
    681,652.13x = 2,065,291,259,822.02
  5. Step 5: Solve for x
    x = 2,065,291,259,822.02/681,652.13
  6. Step 6: Final answer
    x = 3,029,831.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.