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Finding the Third Proportional to 465,850 and 1,003,028

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Solution

The third proportional to 465,850 and 1,003,028 is: 2,159,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,850 : 1,003,028 = 1,003,028 : x
  2. Step 2: Convert to fraction form
    465,850/1,003,028 = 1,003,028/x
  3. Step 3: Cross multiply
    465,850x = 1,003,028 × 1,003,028
  4. Step 4: Simplify right side
    465,850x = 1,006,065,168,784
  5. Step 5: Solve for x
    x = 1,006,065,168,784/465,850
  6. Step 6: Final answer
    x = 2,159,633.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.