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Finding the Third Proportional to 2,865,769 and 3,894,040

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Solution

The third proportional to 2,865,769 and 3,894,040 is: 5,291,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865,769 : 3,894,040 = 3,894,040 : x
  2. Step 2: Convert to fraction form
    2,865,769/3,894,040 = 3,894,040/x
  3. Step 3: Cross multiply
    2,865,769x = 3,894,040 × 3,894,040
  4. Step 4: Simplify right side
    2,865,769x = 15,163,547,521,600
  5. Step 5: Solve for x
    x = 15,163,547,521,600/2,865,769
  6. Step 6: Final answer
    x = 5,291,266.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.