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Finding the Third Proportional to 424,629 and 1,000,984.50

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Solution

The third proportional to 424,629 and 1,000,984.50 is: 2,359,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,629 : 1,000,984.50 = 1,000,984.50 : x
  2. Step 2: Convert to fraction form
    424,629/1,000,984.50 = 1,000,984.50/x
  3. Step 3: Cross multiply
    424,629x = 1,000,984.50 × 1,000,984.50
  4. Step 4: Simplify right side
    424,629x = 1,001,969,969,240.25
  5. Step 5: Solve for x
    x = 1,001,969,969,240.25/424,629
  6. Step 6: Final answer
    x = 2,359,636.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.