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Finding the Third Proportional to 810,439 and 1,763,581

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Solution

The third proportional to 810,439 and 1,763,581 is: 3,837,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,439 : 1,763,581 = 1,763,581 : x
  2. Step 2: Convert to fraction form
    810,439/1,763,581 = 1,763,581/x
  3. Step 3: Cross multiply
    810,439x = 1,763,581 × 1,763,581
  4. Step 4: Simplify right side
    810,439x = 3,110,217,943,561
  5. Step 5: Solve for x
    x = 3,110,217,943,561/810,439
  6. Step 6: Final answer
    x = 3,837,695.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.