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Finding the Third Proportional to 966,280 and 2,049,488

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Solution

The third proportional to 966,280 and 2,049,488 is: 4,346,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,280 : 2,049,488 = 2,049,488 : x
  2. Step 2: Convert to fraction form
    966,280/2,049,488 = 2,049,488/x
  3. Step 3: Cross multiply
    966,280x = 2,049,488 × 2,049,488
  4. Step 4: Simplify right side
    966,280x = 4,200,401,062,144
  5. Step 5: Solve for x
    x = 4,200,401,062,144/966,280
  6. Step 6: Final answer
    x = 4,346,981.27

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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.