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Finding the Third Proportional to 2,170,417.50 and 4,714,380

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Solution

The third proportional to 2,170,417.50 and 4,714,380 is: 10,240,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,417.50 : 4,714,380 = 4,714,380 : x
  2. Step 2: Convert to fraction form
    2,170,417.50/4,714,380 = 4,714,380/x
  3. Step 3: Cross multiply
    2,170,417.50x = 4,714,380 × 4,714,380
  4. Step 4: Simplify right side
    2,170,417.50x = 22,225,378,784,400
  5. Step 5: Solve for x
    x = 22,225,378,784,400/2,170,417.50
  6. Step 6: Final answer
    x = 10,240,139.87

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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.