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Finding the Third Proportional to 699,924 and 1,498,986

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Solution

The third proportional to 699,924 and 1,498,986 is: 3,210,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,924 : 1,498,986 = 1,498,986 : x
  2. Step 2: Convert to fraction form
    699,924/1,498,986 = 1,498,986/x
  3. Step 3: Cross multiply
    699,924x = 1,498,986 × 1,498,986
  4. Step 4: Simplify right side
    699,924x = 2,246,959,028,196
  5. Step 5: Solve for x
    x = 2,246,959,028,196/699,924
  6. Step 6: Final answer
    x = 3,210,290.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.