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Finding the Third Proportional to 963,486 and 2,098,560

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Solution

The third proportional to 963,486 and 2,098,560 is: 4,570,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,486 : 2,098,560 = 2,098,560 : x
  2. Step 2: Convert to fraction form
    963,486/2,098,560 = 2,098,560/x
  3. Step 3: Cross multiply
    963,486x = 2,098,560 × 2,098,560
  4. Step 4: Simplify right side
    963,486x = 4,403,954,073,600
  5. Step 5: Solve for x
    x = 4,403,954,073,600/963,486
  6. Step 6: Final answer
    x = 4,570,854.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.