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Finding the Third Proportional to 4,714,628.50 and 6,983,565

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Solution

The third proportional to 4,714,628.50 and 6,983,565 is: 10,344,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714,628.50 : 6,983,565 = 6,983,565 : x
  2. Step 2: Convert to fraction form
    4,714,628.50/6,983,565 = 6,983,565/x
  3. Step 3: Cross multiply
    4,714,628.50x = 6,983,565 × 6,983,565
  4. Step 4: Simplify right side
    4,714,628.50x = 48,770,180,109,225
  5. Step 5: Solve for x
    x = 48,770,180,109,225/4,714,628.50
  6. Step 6: Final answer
    x = 10,344,437.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.