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Finding the Third Proportional to 2,041,824 and 4,476,288

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Solution

The third proportional to 2,041,824 and 4,476,288 is: 9,813,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041,824 : 4,476,288 = 4,476,288 : x
  2. Step 2: Convert to fraction form
    2,041,824/4,476,288 = 4,476,288/x
  3. Step 3: Cross multiply
    2,041,824x = 4,476,288 × 4,476,288
  4. Step 4: Simplify right side
    2,041,824x = 20,037,154,258,944
  5. Step 5: Solve for x
    x = 20,037,154,258,944/2,041,824
  6. Step 6: Final answer
    x = 9,813,360.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.