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Finding the Third Proportional to 874,141 and 1,350,037

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Solution

The third proportional to 874,141 and 1,350,037 is: 2,085,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,141 : 1,350,037 = 1,350,037 : x
  2. Step 2: Convert to fraction form
    874,141/1,350,037 = 1,350,037/x
  3. Step 3: Cross multiply
    874,141x = 1,350,037 × 1,350,037
  4. Step 4: Simplify right side
    874,141x = 1,822,599,901,369
  5. Step 5: Solve for x
    x = 1,822,599,901,369/874,141
  6. Step 6: Final answer
    x = 2,085,018.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.