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Finding the Third Proportional to 2,141,828 and 4,656,904

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Solution

The third proportional to 2,141,828 and 4,656,904 is: 10,125,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,828 : 4,656,904 = 4,656,904 : x
  2. Step 2: Convert to fraction form
    2,141,828/4,656,904 = 4,656,904/x
  3. Step 3: Cross multiply
    2,141,828x = 4,656,904 × 4,656,904
  4. Step 4: Simplify right side
    2,141,828x = 21,686,754,865,216
  5. Step 5: Solve for x
    x = 21,686,754,865,216/2,141,828
  6. Step 6: Final answer
    x = 10,125,348.47

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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.