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Finding the Third Proportional to 669,224 and 954,007

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Solution

The third proportional to 669,224 and 954,007 is: 1,359,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,224 : 954,007 = 954,007 : x
  2. Step 2: Convert to fraction form
    669,224/954,007 = 954,007/x
  3. Step 3: Cross multiply
    669,224x = 954,007 × 954,007
  4. Step 4: Simplify right side
    669,224x = 910,129,356,049
  5. Step 5: Solve for x
    x = 910,129,356,049/669,224
  6. Step 6: Final answer
    x = 1,359,977.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.