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Finding the Third Proportional to 2,121,582 and 4,579,233

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Solution

The third proportional to 2,121,582 and 4,579,233 is: 9,883,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121,582 : 4,579,233 = 4,579,233 : x
  2. Step 2: Convert to fraction form
    2,121,582/4,579,233 = 4,579,233/x
  3. Step 3: Cross multiply
    2,121,582x = 4,579,233 × 4,579,233
  4. Step 4: Simplify right side
    2,121,582x = 20,969,374,868,289
  5. Step 5: Solve for x
    x = 20,969,374,868,289/2,121,582
  6. Step 6: Final answer
    x = 9,883,838.98

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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.