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Finding the Third Proportional to 2,144,416 and 4,465,216

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Solution

The third proportional to 2,144,416 and 4,465,216 is: 9,297,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,416 : 4,465,216 = 4,465,216 : x
  2. Step 2: Convert to fraction form
    2,144,416/4,465,216 = 4,465,216/x
  3. Step 3: Cross multiply
    2,144,416x = 4,465,216 × 4,465,216
  4. Step 4: Simplify right side
    2,144,416x = 19,938,153,926,656
  5. Step 5: Solve for x
    x = 19,938,153,926,656/2,144,416
  6. Step 6: Final answer
    x = 9,297,708.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.