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Finding the Third Proportional to 1,058,265 and 1,597,239

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Solution

The third proportional to 1,058,265 and 1,597,239 is: 2,410,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,265 : 1,597,239 = 1,597,239 : x
  2. Step 2: Convert to fraction form
    1,058,265/1,597,239 = 1,597,239/x
  3. Step 3: Cross multiply
    1,058,265x = 1,597,239 × 1,597,239
  4. Step 4: Simplify right side
    1,058,265x = 2,551,172,423,121
  5. Step 5: Solve for x
    x = 2,551,172,423,121/1,058,265
  6. Step 6: Final answer
    x = 2,410,712.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.