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Finding the Third Proportional to 465,776 and 948,678

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Solution

The third proportional to 465,776 and 948,678 is: 1,932,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,776 : 948,678 = 948,678 : x
  2. Step 2: Convert to fraction form
    465,776/948,678 = 948,678/x
  3. Step 3: Cross multiply
    465,776x = 948,678 × 948,678
  4. Step 4: Simplify right side
    465,776x = 899,989,947,684
  5. Step 5: Solve for x
    x = 899,989,947,684/465,776
  6. Step 6: Final answer
    x = 1,932,237.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.