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Finding the Third Proportional to 766,526 and 1,612,503

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Solution

The third proportional to 766,526 and 1,612,503 is: 3,392,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,526 : 1,612,503 = 1,612,503 : x
  2. Step 2: Convert to fraction form
    766,526/1,612,503 = 1,612,503/x
  3. Step 3: Cross multiply
    766,526x = 1,612,503 × 1,612,503
  4. Step 4: Simplify right side
    766,526x = 2,600,165,925,009
  5. Step 5: Solve for x
    x = 2,600,165,925,009/766,526
  6. Step 6: Final answer
    x = 3,392,143.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.