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Finding the Third Proportional to 1,894,348 and 2,897,910

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Solution

The third proportional to 1,894,348 and 2,897,910 is: 4,433,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,348 : 2,897,910 = 2,897,910 : x
  2. Step 2: Convert to fraction form
    1,894,348/2,897,910 = 2,897,910/x
  3. Step 3: Cross multiply
    1,894,348x = 2,897,910 × 2,897,910
  4. Step 4: Simplify right side
    1,894,348x = 8,397,882,368,100
  5. Step 5: Solve for x
    x = 8,397,882,368,100/1,894,348
  6. Step 6: Final answer
    x = 4,433,125.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.