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Finding the Third Proportional to 491,282 and 1,019,492

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Solution

The third proportional to 491,282 and 1,019,492 is: 2,115,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,282 : 1,019,492 = 1,019,492 : x
  2. Step 2: Convert to fraction form
    491,282/1,019,492 = 1,019,492/x
  3. Step 3: Cross multiply
    491,282x = 1,019,492 × 1,019,492
  4. Step 4: Simplify right side
    491,282x = 1,039,363,938,064
  5. Step 5: Solve for x
    x = 1,039,363,938,064/491,282
  6. Step 6: Final answer
    x = 2,115,615.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.