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Finding the Third Proportional to 653,427 and 980,100

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Solution

The third proportional to 653,427 and 980,100 is: 1,470,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,427 : 980,100 = 980,100 : x
  2. Step 2: Convert to fraction form
    653,427/980,100 = 980,100/x
  3. Step 3: Cross multiply
    653,427x = 980,100 × 980,100
  4. Step 4: Simplify right side
    653,427x = 960,596,010,000
  5. Step 5: Solve for x
    x = 960,596,010,000/653,427
  6. Step 6: Final answer
    x = 1,470,089.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.