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Finding the Third Proportional to 1,382,031 and 2,132,091

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Solution

The third proportional to 1,382,031 and 2,132,091 is: 3,289,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,031 : 2,132,091 = 2,132,091 : x
  2. Step 2: Convert to fraction form
    1,382,031/2,132,091 = 2,132,091/x
  3. Step 3: Cross multiply
    1,382,031x = 2,132,091 × 2,132,091
  4. Step 4: Simplify right side
    1,382,031x = 4,545,812,032,281
  5. Step 5: Solve for x
    x = 4,545,812,032,281/1,382,031
  6. Step 6: Final answer
    x = 3,289,225.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.