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Finding the Third Proportional to 605,418 and 1,273,572

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Solution

The third proportional to 605,418 and 1,273,572 is: 2,679,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,418 : 1,273,572 = 1,273,572 : x
  2. Step 2: Convert to fraction form
    605,418/1,273,572 = 1,273,572/x
  3. Step 3: Cross multiply
    605,418x = 1,273,572 × 1,273,572
  4. Step 4: Simplify right side
    605,418x = 1,621,985,639,184
  5. Step 5: Solve for x
    x = 1,621,985,639,184/605,418
  6. Step 6: Final answer
    x = 2,679,116.97

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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.