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Finding the Third Proportional to 1,468,394 and 2,067,854

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Solution

The third proportional to 1,468,394 and 2,067,854 is: 2,912,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,394 : 2,067,854 = 2,067,854 : x
  2. Step 2: Convert to fraction form
    1,468,394/2,067,854 = 2,067,854/x
  3. Step 3: Cross multiply
    1,468,394x = 2,067,854 × 2,067,854
  4. Step 4: Simplify right side
    1,468,394x = 4,276,020,165,316
  5. Step 5: Solve for x
    x = 4,276,020,165,316/1,468,394
  6. Step 6: Final answer
    x = 2,912,038.71

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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.