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Finding the Third Proportional to 713,201.63 and 1,681,877.25

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Solution

The third proportional to 713,201.63 and 1,681,877.25 is: 3,966,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,201.63 : 1,681,877.25 = 1,681,877.25 : x
  2. Step 2: Convert to fraction form
    713,201.63/1,681,877.25 = 1,681,877.25/x
  3. Step 3: Cross multiply
    713,201.63x = 1,681,877.25 × 1,681,877.25
  4. Step 4: Simplify right side
    713,201.63x = 2,828,711,084,067.56
  5. Step 5: Solve for x
    x = 2,828,711,084,067.56/713,201.63
  6. Step 6: Final answer
    x = 3,966,215.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.