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Finding the Third Proportional to 1,596,304 and 2,478,400

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Solution

The third proportional to 1,596,304 and 2,478,400 is: 3,847,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,304 : 2,478,400 = 2,478,400 : x
  2. Step 2: Convert to fraction form
    1,596,304/2,478,400 = 2,478,400/x
  3. Step 3: Cross multiply
    1,596,304x = 2,478,400 × 2,478,400
  4. Step 4: Simplify right side
    1,596,304x = 6,142,466,560,000
  5. Step 5: Solve for x
    x = 6,142,466,560,000/1,596,304
  6. Step 6: Final answer
    x = 3,847,930.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.