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Finding the Third Proportional to 2,208,535.88 and 4,671,712.97

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Solution

The third proportional to 2,208,535.88 and 4,671,712.97 is: 9,882,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208,535.88 : 4,671,712.97 = 4,671,712.97 : x
  2. Step 2: Convert to fraction form
    2,208,535.88/4,671,712.97 = 4,671,712.97/x
  3. Step 3: Cross multiply
    2,208,535.88x = 4,671,712.97 × 4,671,712.97
  4. Step 4: Simplify right side
    2,208,535.88x = 21,824,902,062,386.94
  5. Step 5: Solve for x
    x = 21,824,902,062,386.94/2,208,535.88
  6. Step 6: Final answer
    x = 9,882,068.17

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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.