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Finding the Third Proportional to 666,492 and 1,431,480

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Solution

The third proportional to 666,492 and 1,431,480 is: 3,074,508.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,492 : 1,431,480 = 1,431,480 : x
  2. Step 2: Convert to fraction form
    666,492/1,431,480 = 1,431,480/x
  3. Step 3: Cross multiply
    666,492x = 1,431,480 × 1,431,480
  4. Step 4: Simplify right side
    666,492x = 2,049,134,990,400
  5. Step 5: Solve for x
    x = 2,049,134,990,400/666,492
  6. Step 6: Final answer
    x = 3,074,508.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.