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Finding the Third Proportional to 480,162 and 1,031,492

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Solution

The third proportional to 480,162 and 1,031,492 is: 2,215,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,162 : 1,031,492 = 1,031,492 : x
  2. Step 2: Convert to fraction form
    480,162/1,031,492 = 1,031,492/x
  3. Step 3: Cross multiply
    480,162x = 1,031,492 × 1,031,492
  4. Step 4: Simplify right side
    480,162x = 1,063,975,746,064
  5. Step 5: Solve for x
    x = 1,063,975,746,064/480,162
  6. Step 6: Final answer
    x = 2,215,868.28

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