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Finding the Third Proportional to 913,280.06 and 1,972,901.81

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Solution

The third proportional to 913,280.06 and 1,972,901.81 is: 4,261,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,280.06 : 1,972,901.81 = 1,972,901.81 : x
  2. Step 2: Convert to fraction form
    913,280.06/1,972,901.81 = 1,972,901.81/x
  3. Step 3: Cross multiply
    913,280.06x = 1,972,901.81 × 1,972,901.81
  4. Step 4: Simplify right side
    913,280.06x = 3,892,341,561,765.79
  5. Step 5: Solve for x
    x = 3,892,341,561,765.79/913,280.06
  6. Step 6: Final answer
    x = 4,261,936.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.