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Finding the Third Proportional to 708,076.13 and 1,067,990.63

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Solution

The third proportional to 708,076.13 and 1,067,990.63 is: 1,610,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,076.13 : 1,067,990.63 = 1,067,990.63 : x
  2. Step 2: Convert to fraction form
    708,076.13/1,067,990.63 = 1,067,990.63/x
  3. Step 3: Cross multiply
    708,076.13x = 1,067,990.63 × 1,067,990.63
  4. Step 4: Simplify right side
    708,076.13x = 1,140,603,975,087.89
  5. Step 5: Solve for x
    x = 1,140,603,975,087.89/708,076.13
  6. Step 6: Final answer
    x = 1,610,849.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.