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Finding the Third Proportional to 2,429,184 and 3,460,404

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Solution

The third proportional to 2,429,184 and 3,460,404 is: 4,929,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,184 : 3,460,404 = 3,460,404 : x
  2. Step 2: Convert to fraction form
    2,429,184/3,460,404 = 3,460,404/x
  3. Step 3: Cross multiply
    2,429,184x = 3,460,404 × 3,460,404
  4. Step 4: Simplify right side
    2,429,184x = 11,974,395,843,216
  5. Step 5: Solve for x
    x = 11,974,395,843,216/2,429,184
  6. Step 6: Final answer
    x = 4,929,390.22

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.