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Finding the Third Proportional to 3,094,720 and 4,731,000

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Solution

The third proportional to 3,094,720 and 4,731,000 is: 7,232,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094,720 : 4,731,000 = 4,731,000 : x
  2. Step 2: Convert to fraction form
    3,094,720/4,731,000 = 4,731,000/x
  3. Step 3: Cross multiply
    3,094,720x = 4,731,000 × 4,731,000
  4. Step 4: Simplify right side
    3,094,720x = 22,382,361,000,000
  5. Step 5: Solve for x
    x = 22,382,361,000,000/3,094,720
  6. Step 6: Final answer
    x = 7,232,434.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.