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Finding the Third Proportional to 460,090.13 and 1,002,696.79

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Solution

The third proportional to 460,090.13 and 1,002,696.79 is: 2,185,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,090.13 : 1,002,696.79 = 1,002,696.79 : x
  2. Step 2: Convert to fraction form
    460,090.13/1,002,696.79 = 1,002,696.79/x
  3. Step 3: Cross multiply
    460,090.13x = 1,002,696.79 × 1,002,696.79
  4. Step 4: Simplify right side
    460,090.13x = 1,005,400,842,962.58
  5. Step 5: Solve for x
    x = 1,005,400,842,962.58/460,090.13
  6. Step 6: Final answer
    x = 2,185,225.87

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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.