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Finding the Third Proportional to 1,999,170 and 4,387,410

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Solution

The third proportional to 1,999,170 and 4,387,410 is: 9,628,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,170 : 4,387,410 = 4,387,410 : x
  2. Step 2: Convert to fraction form
    1,999,170/4,387,410 = 4,387,410/x
  3. Step 3: Cross multiply
    1,999,170x = 4,387,410 × 4,387,410
  4. Step 4: Simplify right side
    1,999,170x = 19,249,366,508,100
  5. Step 5: Solve for x
    x = 19,249,366,508,100/1,999,170
  6. Step 6: Final answer
    x = 9,628,679.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.