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Finding the Third Proportional to 714,884 and 1,539,602

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Solution

The third proportional to 714,884 and 1,539,602 is: 3,315,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,884 : 1,539,602 = 1,539,602 : x
  2. Step 2: Convert to fraction form
    714,884/1,539,602 = 1,539,602/x
  3. Step 3: Cross multiply
    714,884x = 1,539,602 × 1,539,602
  4. Step 4: Simplify right side
    714,884x = 2,370,374,318,404
  5. Step 5: Solve for x
    x = 2,370,374,318,404/714,884
  6. Step 6: Final answer
    x = 3,315,746.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.