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Finding the Third Proportional to 1,948,780 and 4,251,692

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Solution

The third proportional to 1,948,780 and 4,251,692 is: 9,276,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,780 : 4,251,692 = 4,251,692 : x
  2. Step 2: Convert to fraction form
    1,948,780/4,251,692 = 4,251,692/x
  3. Step 3: Cross multiply
    1,948,780x = 4,251,692 × 4,251,692
  4. Step 4: Simplify right side
    1,948,780x = 18,076,884,862,864
  5. Step 5: Solve for x
    x = 18,076,884,862,864/1,948,780
  6. Step 6: Final answer
    x = 9,276,000.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.