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Finding the Third Proportional to 1,205,859 and 2,510,952

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Solution

The third proportional to 1,205,859 and 2,510,952 is: 5,228,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,859 : 2,510,952 = 2,510,952 : x
  2. Step 2: Convert to fraction form
    1,205,859/2,510,952 = 2,510,952/x
  3. Step 3: Cross multiply
    1,205,859x = 2,510,952 × 2,510,952
  4. Step 4: Simplify right side
    1,205,859x = 6,304,879,946,304
  5. Step 5: Solve for x
    x = 6,304,879,946,304/1,205,859
  6. Step 6: Final answer
    x = 5,228,538.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.