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Finding the Third Proportional to 698,712 and 1,452,720

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Solution

The third proportional to 698,712 and 1,452,720 is: 3,020,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,712 : 1,452,720 = 1,452,720 : x
  2. Step 2: Convert to fraction form
    698,712/1,452,720 = 1,452,720/x
  3. Step 3: Cross multiply
    698,712x = 1,452,720 × 1,452,720
  4. Step 4: Simplify right side
    698,712x = 2,110,395,398,400
  5. Step 5: Solve for x
    x = 2,110,395,398,400/698,712
  6. Step 6: Final answer
    x = 3,020,408.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.