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Finding the Third Proportional to 623,674 and 1,320,963

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Solution

The third proportional to 623,674 and 1,320,963 is: 2,797,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,674 : 1,320,963 = 1,320,963 : x
  2. Step 2: Convert to fraction form
    623,674/1,320,963 = 1,320,963/x
  3. Step 3: Cross multiply
    623,674x = 1,320,963 × 1,320,963
  4. Step 4: Simplify right side
    623,674x = 1,744,943,247,369
  5. Step 5: Solve for x
    x = 1,744,943,247,369/623,674
  6. Step 6: Final answer
    x = 2,797,845.10

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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.