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Finding the Third Proportional to 673,980 and 1,442,729

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Solution

The third proportional to 673,980 and 1,442,729 is: 3,088,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,980 : 1,442,729 = 1,442,729 : x
  2. Step 2: Convert to fraction form
    673,980/1,442,729 = 1,442,729/x
  3. Step 3: Cross multiply
    673,980x = 1,442,729 × 1,442,729
  4. Step 4: Simplify right side
    673,980x = 2,081,466,967,441
  5. Step 5: Solve for x
    x = 2,081,466,967,441/673,980
  6. Step 6: Final answer
    x = 3,088,321.56

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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.