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Finding the Third Proportional to 1,473,399 and 2,201,023

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Solution

The third proportional to 1,473,399 and 2,201,023 is: 3,287,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,399 : 2,201,023 = 2,201,023 : x
  2. Step 2: Convert to fraction form
    1,473,399/2,201,023 = 2,201,023/x
  3. Step 3: Cross multiply
    1,473,399x = 2,201,023 × 2,201,023
  4. Step 4: Simplify right side
    1,473,399x = 4,844,502,246,529
  5. Step 5: Solve for x
    x = 4,844,502,246,529/1,473,399
  6. Step 6: Final answer
    x = 3,287,977.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.