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Finding the Third Proportional to 720,674 and 1,530,242

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Solution

The third proportional to 720,674 and 1,530,242 is: 3,249,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,674 : 1,530,242 = 1,530,242 : x
  2. Step 2: Convert to fraction form
    720,674/1,530,242 = 1,530,242/x
  3. Step 3: Cross multiply
    720,674x = 1,530,242 × 1,530,242
  4. Step 4: Simplify right side
    720,674x = 2,341,640,578,564
  5. Step 5: Solve for x
    x = 2,341,640,578,564/720,674
  6. Step 6: Final answer
    x = 3,249,236.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.