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Finding the Third Proportional to 963,522 and 2,117,716

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Solution

The third proportional to 963,522 and 2,117,716 is: 4,654,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,522 : 2,117,716 = 2,117,716 : x
  2. Step 2: Convert to fraction form
    963,522/2,117,716 = 2,117,716/x
  3. Step 3: Cross multiply
    963,522x = 2,117,716 × 2,117,716
  4. Step 4: Simplify right side
    963,522x = 4,484,721,056,656
  5. Step 5: Solve for x
    x = 4,484,721,056,656/963,522
  6. Step 6: Final answer
    x = 4,654,508.21

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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.