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Finding the Third Proportional to 448,709 and 948,070

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Solution

The third proportional to 448,709 and 948,070 is: 2,003,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,709 : 948,070 = 948,070 : x
  2. Step 2: Convert to fraction form
    448,709/948,070 = 948,070/x
  3. Step 3: Cross multiply
    448,709x = 948,070 × 948,070
  4. Step 4: Simplify right side
    448,709x = 898,836,724,900
  5. Step 5: Solve for x
    x = 898,836,724,900/448,709
  6. Step 6: Final answer
    x = 2,003,161.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.