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Finding the Third Proportional to 1,382,020 and 2,132,076

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Solution

The third proportional to 1,382,020 and 2,132,076 is: 3,289,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,020 : 2,132,076 = 2,132,076 : x
  2. Step 2: Convert to fraction form
    1,382,020/2,132,076 = 2,132,076/x
  3. Step 3: Cross multiply
    1,382,020x = 2,132,076 × 2,132,076
  4. Step 4: Simplify right side
    1,382,020x = 4,545,748,069,776
  5. Step 5: Solve for x
    x = 4,545,748,069,776/1,382,020
  6. Step 6: Final answer
    x = 3,289,205.71

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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.