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Finding the Third Proportional to 1,828,542 and 2,736,190

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Solution

The third proportional to 1,828,542 and 2,736,190 is: 4,094,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,542 : 2,736,190 = 2,736,190 : x
  2. Step 2: Convert to fraction form
    1,828,542/2,736,190 = 2,736,190/x
  3. Step 3: Cross multiply
    1,828,542x = 2,736,190 × 2,736,190
  4. Step 4: Simplify right side
    1,828,542x = 7,486,735,716,100
  5. Step 5: Solve for x
    x = 7,486,735,716,100/1,828,542
  6. Step 6: Final answer
    x = 4,094,374.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.