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Finding the Third Proportional to 2,170,509 and 4,714,671

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Solution

The third proportional to 2,170,509 and 4,714,671 is: 10,240,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,509 : 4,714,671 = 4,714,671 : x
  2. Step 2: Convert to fraction form
    2,170,509/4,714,671 = 4,714,671/x
  3. Step 3: Cross multiply
    2,170,509x = 4,714,671 × 4,714,671
  4. Step 4: Simplify right side
    2,170,509x = 22,228,122,638,241
  5. Step 5: Solve for x
    x = 22,228,122,638,241/2,170,509
  6. Step 6: Final answer
    x = 10,240,972.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.