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Finding the Third Proportional to 966,942 and 2,013,348

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Solution

The third proportional to 966,942 and 2,013,348 is: 4,192,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,942 : 2,013,348 = 2,013,348 : x
  2. Step 2: Convert to fraction form
    966,942/2,013,348 = 2,013,348/x
  3. Step 3: Cross multiply
    966,942x = 2,013,348 × 2,013,348
  4. Step 4: Simplify right side
    966,942x = 4,053,570,169,104
  5. Step 5: Solve for x
    x = 4,053,570,169,104/966,942
  6. Step 6: Final answer
    x = 4,192,154.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.