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Finding the Third Proportional to 1,920,391 and 4,138,213

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Solution

The third proportional to 1,920,391 and 4,138,213 is: 8,917,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920,391 : 4,138,213 = 4,138,213 : x
  2. Step 2: Convert to fraction form
    1,920,391/4,138,213 = 4,138,213/x
  3. Step 3: Cross multiply
    1,920,391x = 4,138,213 × 4,138,213
  4. Step 4: Simplify right side
    1,920,391x = 17,124,806,833,369
  5. Step 5: Solve for x
    x = 17,124,806,833,369/1,920,391
  6. Step 6: Final answer
    x = 8,917,354.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.