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Finding the Third Proportional to 966,039 and 2,098,153

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Solution

The third proportional to 966,039 and 2,098,153 is: 4,557,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,039 : 2,098,153 = 2,098,153 : x
  2. Step 2: Convert to fraction form
    966,039/2,098,153 = 2,098,153/x
  3. Step 3: Cross multiply
    966,039x = 2,098,153 × 2,098,153
  4. Step 4: Simplify right side
    966,039x = 4,402,246,011,409
  5. Step 5: Solve for x
    x = 4,402,246,011,409/966,039
  6. Step 6: Final answer
    x = 4,557,006.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.