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Finding the Third Proportional to 1,382,509 and 3,007,368

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Solution

The third proportional to 1,382,509 and 3,007,368 is: 6,541,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,509 : 3,007,368 = 3,007,368 : x
  2. Step 2: Convert to fraction form
    1,382,509/3,007,368 = 3,007,368/x
  3. Step 3: Cross multiply
    1,382,509x = 3,007,368 × 3,007,368
  4. Step 4: Simplify right side
    1,382,509x = 9,044,262,287,424
  5. Step 5: Solve for x
    x = 9,044,262,287,424/1,382,509
  6. Step 6: Final answer
    x = 6,541,919.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.