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Finding the Third Proportional to 464,224 and 1,015,928

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Solution

The third proportional to 464,224 and 1,015,928 is: 2,223,301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,224 : 1,015,928 = 1,015,928 : x
  2. Step 2: Convert to fraction form
    464,224/1,015,928 = 1,015,928/x
  3. Step 3: Cross multiply
    464,224x = 1,015,928 × 1,015,928
  4. Step 4: Simplify right side
    464,224x = 1,032,109,701,184
  5. Step 5: Solve for x
    x = 1,032,109,701,184/464,224
  6. Step 6: Final answer
    x = 2,223,301.04

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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.