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Finding the Third Proportional to 1,208,101 and 2,605,342

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Solution

The third proportional to 1,208,101 and 2,605,342 is: 5,618,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208,101 : 2,605,342 = 2,605,342 : x
  2. Step 2: Convert to fraction form
    1,208,101/2,605,342 = 2,605,342/x
  3. Step 3: Cross multiply
    1,208,101x = 2,605,342 × 2,605,342
  4. Step 4: Simplify right side
    1,208,101x = 6,787,806,936,964
  5. Step 5: Solve for x
    x = 6,787,806,936,964/1,208,101
  6. Step 6: Final answer
    x = 5,618,575.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.