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Finding the Third Proportional to 940,410 and 1,371,249

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Solution

The third proportional to 940,410 and 1,371,249 is: 1,999,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,410 : 1,371,249 = 1,371,249 : x
  2. Step 2: Convert to fraction form
    940,410/1,371,249 = 1,371,249/x
  3. Step 3: Cross multiply
    940,410x = 1,371,249 × 1,371,249
  4. Step 4: Simplify right side
    940,410x = 1,880,323,820,001
  5. Step 5: Solve for x
    x = 1,880,323,820,001/940,410
  6. Step 6: Final answer
    x = 1,999,472.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.