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Finding the Third Proportional to 656,818 and 1,418,420

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Solution

The third proportional to 656,818 and 1,418,420 is: 3,063,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,818 : 1,418,420 = 1,418,420 : x
  2. Step 2: Convert to fraction form
    656,818/1,418,420 = 1,418,420/x
  3. Step 3: Cross multiply
    656,818x = 1,418,420 × 1,418,420
  4. Step 4: Simplify right side
    656,818x = 2,011,915,296,400
  5. Step 5: Solve for x
    x = 2,011,915,296,400/656,818
  6. Step 6: Final answer
    x = 3,063,124.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.