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Finding the Third Proportional to 424,492 and 924,800

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Solution

The third proportional to 424,492 and 924,800 is: 2,014,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,492 : 924,800 = 924,800 : x
  2. Step 2: Convert to fraction form
    424,492/924,800 = 924,800/x
  3. Step 3: Cross multiply
    424,492x = 924,800 × 924,800
  4. Step 4: Simplify right side
    424,492x = 855,255,040,000
  5. Step 5: Solve for x
    x = 855,255,040,000/424,492
  6. Step 6: Final answer
    x = 2,014,773.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.