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Finding the Third Proportional to 1,984,818 and 4,305,714

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Solution

The third proportional to 1,984,818 and 4,305,714 is: 9,340,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,818 : 4,305,714 = 4,305,714 : x
  2. Step 2: Convert to fraction form
    1,984,818/4,305,714 = 4,305,714/x
  3. Step 3: Cross multiply
    1,984,818x = 4,305,714 × 4,305,714
  4. Step 4: Simplify right side
    1,984,818x = 18,539,173,049,796
  5. Step 5: Solve for x
    x = 18,539,173,049,796/1,984,818
  6. Step 6: Final answer
    x = 9,340,490.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.