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Finding the Third Proportional to 913,272.47 and 1,972,889.16

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Solution

The third proportional to 913,272.47 and 1,972,889.16 is: 4,261,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,272.47 : 1,972,889.16 = 1,972,889.16 : x
  2. Step 2: Convert to fraction form
    913,272.47/1,972,889.16 = 1,972,889.16/x
  3. Step 3: Cross multiply
    913,272.47x = 1,972,889.16 × 1,972,889.16
  4. Step 4: Simplify right side
    913,272.47x = 3,892,291,622,848.84
  5. Step 5: Solve for x
    x = 3,892,291,622,848.84/913,272.47
  6. Step 6: Final answer
    x = 4,261,917.18

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Why These Related Problems?

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