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Finding the Third Proportional to 465,808 and 968,480

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Solution

The third proportional to 465,808 and 968,480 is: 2,013,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,808 : 968,480 = 968,480 : x
  2. Step 2: Convert to fraction form
    465,808/968,480 = 968,480/x
  3. Step 3: Cross multiply
    465,808x = 968,480 × 968,480
  4. Step 4: Simplify right side
    465,808x = 937,953,510,400
  5. Step 5: Solve for x
    x = 937,953,510,400/465,808
  6. Step 6: Final answer
    x = 2,013,605.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.