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Finding the Third Proportional to 2,235,678 and 3,160,411

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Solution

The third proportional to 2,235,678 and 3,160,411 is: 4,467,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,678 : 3,160,411 = 3,160,411 : x
  2. Step 2: Convert to fraction form
    2,235,678/3,160,411 = 3,160,411/x
  3. Step 3: Cross multiply
    2,235,678x = 3,160,411 × 3,160,411
  4. Step 4: Simplify right side
    2,235,678x = 9,988,197,688,921
  5. Step 5: Solve for x
    x = 9,988,197,688,921/2,235,678
  6. Step 6: Final answer
    x = 4,467,636.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.