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Finding the Third Proportional to 699,930 and 1,498,998

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Solution

The third proportional to 699,930 and 1,498,998 is: 3,210,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,930 : 1,498,998 = 1,498,998 : x
  2. Step 2: Convert to fraction form
    699,930/1,498,998 = 1,498,998/x
  3. Step 3: Cross multiply
    699,930x = 1,498,998 × 1,498,998
  4. Step 4: Simplify right side
    699,930x = 2,246,995,004,004
  5. Step 5: Solve for x
    x = 2,246,995,004,004/699,930
  6. Step 6: Final answer
    x = 3,210,313.89

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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.