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Finding the Third Proportional to 460,260 and 952,473

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Solution

The third proportional to 460,260 and 952,473 is: 1,971,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,260 : 952,473 = 952,473 : x
  2. Step 2: Convert to fraction form
    460,260/952,473 = 952,473/x
  3. Step 3: Cross multiply
    460,260x = 952,473 × 952,473
  4. Step 4: Simplify right side
    460,260x = 907,204,815,729
  5. Step 5: Solve for x
    x = 907,204,815,729/460,260
  6. Step 6: Final answer
    x = 1,971,070.30

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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.