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Finding the Third Proportional to 939,141 and 1,413,018

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Solution

The third proportional to 939,141 and 1,413,018 is: 2,126,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    939,141 : 1,413,018 = 1,413,018 : x
  2. Step 2: Convert to fraction form
    939,141/1,413,018 = 1,413,018/x
  3. Step 3: Cross multiply
    939,141x = 1,413,018 × 1,413,018
  4. Step 4: Simplify right side
    939,141x = 1,996,619,868,324
  5. Step 5: Solve for x
    x = 1,996,619,868,324/939,141
  6. Step 6: Final answer
    x = 2,126,006.50

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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.