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Finding the Third Proportional to 462,067 and 931,001

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Solution

The third proportional to 462,067 and 931,001 is: 1,875,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,067 : 931,001 = 931,001 : x
  2. Step 2: Convert to fraction form
    462,067/931,001 = 931,001/x
  3. Step 3: Cross multiply
    462,067x = 931,001 × 931,001
  4. Step 4: Simplify right side
    462,067x = 866,762,862,001
  5. Step 5: Solve for x
    x = 866,762,862,001/462,067
  6. Step 6: Final answer
    x = 1,875,838.05

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.