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Finding the Third Proportional to 609,492 and 929,708

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Solution

The third proportional to 609,492 and 929,708 is: 1,418,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,492 : 929,708 = 929,708 : x
  2. Step 2: Convert to fraction form
    609,492/929,708 = 929,708/x
  3. Step 3: Cross multiply
    609,492x = 929,708 × 929,708
  4. Step 4: Simplify right side
    609,492x = 864,356,965,264
  5. Step 5: Solve for x
    x = 864,356,965,264/609,492
  6. Step 6: Final answer
    x = 1,418,159.66

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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.