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Finding the Third Proportional to 2,288,175 and 3,461,784

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Solution

The third proportional to 2,288,175 and 3,461,784 is: 5,237,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,175 : 3,461,784 = 3,461,784 : x
  2. Step 2: Convert to fraction form
    2,288,175/3,461,784 = 3,461,784/x
  3. Step 3: Cross multiply
    2,288,175x = 3,461,784 × 3,461,784
  4. Step 4: Simplify right side
    2,288,175x = 11,983,948,462,656
  5. Step 5: Solve for x
    x = 11,983,948,462,656/2,288,175
  6. Step 6: Final answer
    x = 5,237,339.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.