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Finding the Third Proportional to 987,130 and 1,492,847

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Solution

The third proportional to 987,130 and 1,492,847 is: 2,257,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,130 : 1,492,847 = 1,492,847 : x
  2. Step 2: Convert to fraction form
    987,130/1,492,847 = 1,492,847/x
  3. Step 3: Cross multiply
    987,130x = 1,492,847 × 1,492,847
  4. Step 4: Simplify right side
    987,130x = 2,228,592,165,409
  5. Step 5: Solve for x
    x = 2,228,592,165,409/987,130
  6. Step 6: Final answer
    x = 2,257,648.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.