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Finding the Third Proportional to 460,340 and 952,648

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Solution

The third proportional to 460,340 and 952,648 is: 1,971,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,340 : 952,648 = 952,648 : x
  2. Step 2: Convert to fraction form
    460,340/952,648 = 952,648/x
  3. Step 3: Cross multiply
    460,340x = 952,648 × 952,648
  4. Step 4: Simplify right side
    460,340x = 907,538,211,904
  5. Step 5: Solve for x
    x = 907,538,211,904/460,340
  6. Step 6: Final answer
    x = 1,971,452.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.