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Finding the Third Proportional to 1,702,786 and 2,561,330

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Solution

The third proportional to 1,702,786 and 2,561,330 is: 3,852,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702,786 : 2,561,330 = 2,561,330 : x
  2. Step 2: Convert to fraction form
    1,702,786/2,561,330 = 2,561,330/x
  3. Step 3: Cross multiply
    1,702,786x = 2,561,330 × 2,561,330
  4. Step 4: Simplify right side
    1,702,786x = 6,560,411,368,900
  5. Step 5: Solve for x
    x = 6,560,411,368,900/1,702,786
  6. Step 6: Final answer
    x = 3,852,751.53

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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.