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Finding the Third Proportional to 963,342 and 2,117,376

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Solution

The third proportional to 963,342 and 2,117,376 is: 4,653,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,342 : 2,117,376 = 2,117,376 : x
  2. Step 2: Convert to fraction form
    963,342/2,117,376 = 2,117,376/x
  3. Step 3: Cross multiply
    963,342x = 2,117,376 × 2,117,376
  4. Step 4: Simplify right side
    963,342x = 4,483,281,125,376
  5. Step 5: Solve for x
    x = 4,483,281,125,376/963,342
  6. Step 6: Final answer
    x = 4,653,883.17

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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.