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Finding the Third Proportional to 1,473,082.50 and 3,171,297

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Solution

The third proportional to 1,473,082.50 and 3,171,297 is: 6,827,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,082.50 : 3,171,297 = 3,171,297 : x
  2. Step 2: Convert to fraction form
    1,473,082.50/3,171,297 = 3,171,297/x
  3. Step 3: Cross multiply
    1,473,082.50x = 3,171,297 × 3,171,297
  4. Step 4: Simplify right side
    1,473,082.50x = 10,057,124,662,209
  5. Step 5: Solve for x
    x = 10,057,124,662,209/1,473,082.50
  6. Step 6: Final answer
    x = 6,827,265.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.