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Finding the Third Proportional to 489,942 and 1,049,865

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Solution

The third proportional to 489,942 and 1,049,865 is: 2,249,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,942 : 1,049,865 = 1,049,865 : x
  2. Step 2: Convert to fraction form
    489,942/1,049,865 = 1,049,865/x
  3. Step 3: Cross multiply
    489,942x = 1,049,865 × 1,049,865
  4. Step 4: Simplify right side
    489,942x = 1,102,216,518,225
  5. Step 5: Solve for x
    x = 1,102,216,518,225/489,942
  6. Step 6: Final answer
    x = 2,249,687.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.