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Finding the Third Proportional to 442,673 and 948,470

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Solution

The third proportional to 442,673 and 948,470 is: 2,032,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,673 : 948,470 = 948,470 : x
  2. Step 2: Convert to fraction form
    442,673/948,470 = 948,470/x
  3. Step 3: Cross multiply
    442,673x = 948,470 × 948,470
  4. Step 4: Simplify right side
    442,673x = 899,595,340,900
  5. Step 5: Solve for x
    x = 899,595,340,900/442,673
  6. Step 6: Final answer
    x = 2,032,189.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.