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Finding the Third Proportional to 983,306.25 and 2,139,658.88

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Solution

The third proportional to 983,306.25 and 2,139,658.88 is: 4,655,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,306.25 : 2,139,658.88 = 2,139,658.88 : x
  2. Step 2: Convert to fraction form
    983,306.25/2,139,658.88 = 2,139,658.88/x
  3. Step 3: Cross multiply
    983,306.25x = 2,139,658.88 × 2,139,658.88
  4. Step 4: Simplify right side
    983,306.25x = 4,578,140,101,366.27
  5. Step 5: Solve for x
    x = 4,578,140,101,366.27/983,306.25
  6. Step 6: Final answer
    x = 4,655,863.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.