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Finding the Third Proportional to 2,107,192 and 4,465,160

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Solution

The third proportional to 2,107,192 and 4,465,160 is: 9,461,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107,192 : 4,465,160 = 4,465,160 : x
  2. Step 2: Convert to fraction form
    2,107,192/4,465,160 = 4,465,160/x
  3. Step 3: Cross multiply
    2,107,192x = 4,465,160 × 4,465,160
  4. Step 4: Simplify right side
    2,107,192x = 19,937,653,825,600
  5. Step 5: Solve for x
    x = 19,937,653,825,600/2,107,192
  6. Step 6: Final answer
    x = 9,461,716.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.