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Finding the Third Proportional to 424,881 and 924,690

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Solution

The third proportional to 424,881 and 924,690 is: 2,012,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,881 : 924,690 = 924,690 : x
  2. Step 2: Convert to fraction form
    424,881/924,690 = 924,690/x
  3. Step 3: Cross multiply
    424,881x = 924,690 × 924,690
  4. Step 4: Simplify right side
    424,881x = 855,051,596,100
  5. Step 5: Solve for x
    x = 855,051,596,100/424,881
  6. Step 6: Final answer
    x = 2,012,449.59

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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.