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Finding the Third Proportional to 940,727 and 1,413,210.50

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Solution

The third proportional to 940,727 and 1,413,210.50 is: 2,123,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,727 : 1,413,210.50 = 1,413,210.50 : x
  2. Step 2: Convert to fraction form
    940,727/1,413,210.50 = 1,413,210.50/x
  3. Step 3: Cross multiply
    940,727x = 1,413,210.50 × 1,413,210.50
  4. Step 4: Simplify right side
    940,727x = 1,997,163,917,310.25
  5. Step 5: Solve for x
    x = 1,997,163,917,310.25/940,727
  6. Step 6: Final answer
    x = 2,123,000.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.