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Finding the Third Proportional to 2,132,400 and 4,415,702

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Solution

The third proportional to 2,132,400 and 4,415,702 is: 9,143,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132,400 : 4,415,702 = 4,415,702 : x
  2. Step 2: Convert to fraction form
    2,132,400/4,415,702 = 4,415,702/x
  3. Step 3: Cross multiply
    2,132,400x = 4,415,702 × 4,415,702
  4. Step 4: Simplify right side
    2,132,400x = 19,498,424,152,804
  5. Step 5: Solve for x
    x = 19,498,424,152,804/2,132,400
  6. Step 6: Final answer
    x = 9,143,886.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.