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Finding the Third Proportional to 427,888.88 and 927,127.88

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Solution

The third proportional to 427,888.88 and 927,127.88 is: 2,008,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,888.88 : 927,127.88 = 927,127.88 : x
  2. Step 2: Convert to fraction form
    427,888.88/927,127.88 = 927,127.88/x
  3. Step 3: Cross multiply
    427,888.88x = 927,127.88 × 927,127.88
  4. Step 4: Simplify right side
    427,888.88x = 859,566,096,602.02
  5. Step 5: Solve for x
    x = 859,566,096,602.02/427,888.88
  6. Step 6: Final answer
    x = 2,008,853.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.