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Finding the Third Proportional to 1,646,180 and 2,533,468

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Solution

The third proportional to 1,646,180 and 2,533,468 is: 3,899,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646,180 : 2,533,468 = 2,533,468 : x
  2. Step 2: Convert to fraction form
    1,646,180/2,533,468 = 2,533,468/x
  3. Step 3: Cross multiply
    1,646,180x = 2,533,468 × 2,533,468
  4. Step 4: Simplify right side
    1,646,180x = 6,418,460,107,024
  5. Step 5: Solve for x
    x = 6,418,460,107,024/1,646,180
  6. Step 6: Final answer
    x = 3,899,002.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.