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Finding the Third Proportional to 701,702 and 1,521,409

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Solution

The third proportional to 701,702 and 1,521,409 is: 3,298,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,702 : 1,521,409 = 1,521,409 : x
  2. Step 2: Convert to fraction form
    701,702/1,521,409 = 1,521,409/x
  3. Step 3: Cross multiply
    701,702x = 1,521,409 × 1,521,409
  4. Step 4: Simplify right side
    701,702x = 2,314,685,345,281
  5. Step 5: Solve for x
    x = 2,314,685,345,281/701,702
  6. Step 6: Final answer
    x = 3,298,672.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.