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Finding the Third Proportional to 2,160,597 and 4,719,834.75

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Solution

The third proportional to 2,160,597 and 4,719,834.75 is: 10,310,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,597 : 4,719,834.75 = 4,719,834.75 : x
  2. Step 2: Convert to fraction form
    2,160,597/4,719,834.75 = 4,719,834.75/x
  3. Step 3: Cross multiply
    2,160,597x = 4,719,834.75 × 4,719,834.75
  4. Step 4: Simplify right side
    2,160,597x = 22,276,840,067,307.56
  5. Step 5: Solve for x
    x = 22,276,840,067,307.56/2,160,597
  6. Step 6: Final answer
    x = 10,310,502.17

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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.