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Finding the Third Proportional to 980,708 and 1,499,598

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Solution

The third proportional to 980,708 and 1,499,598 is: 2,293,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,708 : 1,499,598 = 1,499,598 : x
  2. Step 2: Convert to fraction form
    980,708/1,499,598 = 1,499,598/x
  3. Step 3: Cross multiply
    980,708x = 1,499,598 × 1,499,598
  4. Step 4: Simplify right side
    980,708x = 2,248,794,161,604
  5. Step 5: Solve for x
    x = 2,248,794,161,604/980,708
  6. Step 6: Final answer
    x = 2,293,031.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.