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Finding the Third Proportional to 460,717.88 and 1,005,058.13

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Solution

The third proportional to 460,717.88 and 1,005,058.13 is: 2,192,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,717.88 : 1,005,058.13 = 1,005,058.13 : x
  2. Step 2: Convert to fraction form
    460,717.88/1,005,058.13 = 1,005,058.13/x
  3. Step 3: Cross multiply
    460,717.88x = 1,005,058.13 × 1,005,058.13
  4. Step 4: Simplify right side
    460,717.88x = 1,010,141,834,628.52
  5. Step 5: Solve for x
    x = 1,010,141,834,628.52/460,717.88
  6. Step 6: Final answer
    x = 2,192,538.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.