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Finding the Third Proportional to 999,394 and 1,598,451

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Solution

The third proportional to 999,394 and 1,598,451 is: 2,556,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,394 : 1,598,451 = 1,598,451 : x
  2. Step 2: Convert to fraction form
    999,394/1,598,451 = 1,598,451/x
  3. Step 3: Cross multiply
    999,394x = 1,598,451 × 1,598,451
  4. Step 4: Simplify right side
    999,394x = 2,555,045,599,401
  5. Step 5: Solve for x
    x = 2,555,045,599,401/999,394
  6. Step 6: Final answer
    x = 2,556,594.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.