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Finding the Third Proportional to 1,473,812 and 3,257,416

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Solution

The third proportional to 1,473,812 and 3,257,416 is: 7,199,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,812 : 3,257,416 = 3,257,416 : x
  2. Step 2: Convert to fraction form
    1,473,812/3,257,416 = 3,257,416/x
  3. Step 3: Cross multiply
    1,473,812x = 3,257,416 × 3,257,416
  4. Step 4: Simplify right side
    1,473,812x = 10,610,758,997,056
  5. Step 5: Solve for x
    x = 10,610,758,997,056/1,473,812
  6. Step 6: Final answer
    x = 7,199,533.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.