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Finding the Third Proportional to 812,070 and 1,135,360

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Solution

The third proportional to 812,070 and 1,135,360 is: 1,587,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,070 : 1,135,360 = 1,135,360 : x
  2. Step 2: Convert to fraction form
    812,070/1,135,360 = 1,135,360/x
  3. Step 3: Cross multiply
    812,070x = 1,135,360 × 1,135,360
  4. Step 4: Simplify right side
    812,070x = 1,289,042,329,600
  5. Step 5: Solve for x
    x = 1,289,042,329,600/812,070
  6. Step 6: Final answer
    x = 1,587,353.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.