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Finding the Third Proportional to 940,788 and 1,413,301.50

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Solution

The third proportional to 940,788 and 1,413,301.50 is: 2,123,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,788 : 1,413,301.50 = 1,413,301.50 : x
  2. Step 2: Convert to fraction form
    940,788/1,413,301.50 = 1,413,301.50/x
  3. Step 3: Cross multiply
    940,788x = 1,413,301.50 × 1,413,301.50
  4. Step 4: Simplify right side
    940,788x = 1,997,421,129,902.25
  5. Step 5: Solve for x
    x = 1,997,421,129,902.25/940,788
  6. Step 6: Final answer
    x = 2,123,136.28

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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.