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Finding the Third Proportional to 1,683,087 and 2,367,382.50

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Solution

The third proportional to 1,683,087 and 2,367,382.50 is: 3,329,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,087 : 2,367,382.50 = 2,367,382.50 : x
  2. Step 2: Convert to fraction form
    1,683,087/2,367,382.50 = 2,367,382.50/x
  3. Step 3: Cross multiply
    1,683,087x = 2,367,382.50 × 2,367,382.50
  4. Step 4: Simplify right side
    1,683,087x = 5,604,499,901,306.25
  5. Step 5: Solve for x
    x = 5,604,499,901,306.25/1,683,087
  6. Step 6: Final answer
    x = 3,329,893.17

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.