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Finding the Third Proportional to 963,384 and 2,117,442

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Solution

The third proportional to 963,384 and 2,117,442 is: 4,653,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,384 : 2,117,442 = 2,117,442 : x
  2. Step 2: Convert to fraction form
    963,384/2,117,442 = 2,117,442/x
  3. Step 3: Cross multiply
    963,384x = 2,117,442 × 2,117,442
  4. Step 4: Simplify right side
    963,384x = 4,483,560,623,364
  5. Step 5: Solve for x
    x = 4,483,560,623,364/963,384
  6. Step 6: Final answer
    x = 4,653,970.40

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