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Finding the Third Proportional to 897,702 and 1,343,515

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Solution

The third proportional to 897,702 and 1,343,515 is: 2,010,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,702 : 1,343,515 = 1,343,515 : x
  2. Step 2: Convert to fraction form
    897,702/1,343,515 = 1,343,515/x
  3. Step 3: Cross multiply
    897,702x = 1,343,515 × 1,343,515
  4. Step 4: Simplify right side
    897,702x = 1,805,032,555,225
  5. Step 5: Solve for x
    x = 1,805,032,555,225/897,702
  6. Step 6: Final answer
    x = 2,010,725.78

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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.