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Finding the Third Proportional to 3,028,264.69 and 4,654,651.31

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Solution

The third proportional to 3,028,264.69 and 4,654,651.31 is: 7,154,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028,264.69 : 4,654,651.31 = 4,654,651.31 : x
  2. Step 2: Convert to fraction form
    3,028,264.69/4,654,651.31 = 4,654,651.31/x
  3. Step 3: Cross multiply
    3,028,264.69x = 4,654,651.31 × 4,654,651.31
  4. Step 4: Simplify right side
    3,028,264.69x = 21,665,778,840,957.97
  5. Step 5: Solve for x
    x = 21,665,778,840,957.97/3,028,264.69
  6. Step 6: Final answer
    x = 7,154,519.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.