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Finding the Third Proportional to 775,764 and 1,645,432

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Solution

The third proportional to 775,764 and 1,645,432 is: 3,490,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,764 : 1,645,432 = 1,645,432 : x
  2. Step 2: Convert to fraction form
    775,764/1,645,432 = 1,645,432/x
  3. Step 3: Cross multiply
    775,764x = 1,645,432 × 1,645,432
  4. Step 4: Simplify right side
    775,764x = 2,707,446,466,624
  5. Step 5: Solve for x
    x = 2,707,446,466,624/775,764
  6. Step 6: Final answer
    x = 3,490,038.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.