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Finding the Third Proportional to 903,072 and 1,974,057

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Solution

The third proportional to 903,072 and 1,974,057 is: 4,315,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,072 : 1,974,057 = 1,974,057 : x
  2. Step 2: Convert to fraction form
    903,072/1,974,057 = 1,974,057/x
  3. Step 3: Cross multiply
    903,072x = 1,974,057 × 1,974,057
  4. Step 4: Simplify right side
    903,072x = 3,896,901,039,249
  5. Step 5: Solve for x
    x = 3,896,901,039,249/903,072
  6. Step 6: Final answer
    x = 4,315,160.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.