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Finding the Third Proportional to 2,185,324 and 3,292,565

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Solution

The third proportional to 2,185,324 and 3,292,565 is: 4,960,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185,324 : 3,292,565 = 3,292,565 : x
  2. Step 2: Convert to fraction form
    2,185,324/3,292,565 = 3,292,565/x
  3. Step 3: Cross multiply
    2,185,324x = 3,292,565 × 3,292,565
  4. Step 4: Simplify right side
    2,185,324x = 10,840,984,279,225
  5. Step 5: Solve for x
    x = 10,840,984,279,225/2,185,324
  6. Step 6: Final answer
    x = 4,960,813.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.