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Finding the Third Proportional to 963,344 and 2,117,380

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Solution

The third proportional to 963,344 and 2,117,380 is: 4,653,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,344 : 2,117,380 = 2,117,380 : x
  2. Step 2: Convert to fraction form
    963,344/2,117,380 = 2,117,380/x
  3. Step 3: Cross multiply
    963,344x = 2,117,380 × 2,117,380
  4. Step 4: Simplify right side
    963,344x = 4,483,298,064,400
  5. Step 5: Solve for x
    x = 4,483,298,064,400/963,344
  6. Step 6: Final answer
    x = 4,653,891.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.