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Finding the Third Proportional to 966,934.13 and 2,049,124.50

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Solution

The third proportional to 966,934.13 and 2,049,124.50 is: 4,342,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,934.13 : 2,049,124.50 = 2,049,124.50 : x
  2. Step 2: Convert to fraction form
    966,934.13/2,049,124.50 = 2,049,124.50/x
  3. Step 3: Cross multiply
    966,934.13x = 2,049,124.50 × 2,049,124.50
  4. Step 4: Simplify right side
    966,934.13x = 4,198,911,216,500.25
  5. Step 5: Solve for x
    x = 4,198,911,216,500.25/966,934.13
  6. Step 6: Final answer
    x = 4,342,499.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.