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Finding the Third Proportional to 1,948,760 and 4,251,646

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Solution

The third proportional to 1,948,760 and 4,251,646 is: 9,275,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,760 : 4,251,646 = 4,251,646 : x
  2. Step 2: Convert to fraction form
    1,948,760/4,251,646 = 4,251,646/x
  3. Step 3: Cross multiply
    1,948,760x = 4,251,646 × 4,251,646
  4. Step 4: Simplify right side
    1,948,760x = 18,076,493,709,316
  5. Step 5: Solve for x
    x = 18,076,493,709,316/1,948,760
  6. Step 6: Final answer
    x = 9,275,895.29

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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.