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Finding the Third Proportional to 946,072 and 2,102,088

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Solution

The third proportional to 946,072 and 2,102,088 is: 4,670,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,072 : 2,102,088 = 2,102,088 : x
  2. Step 2: Convert to fraction form
    946,072/2,102,088 = 2,102,088/x
  3. Step 3: Cross multiply
    946,072x = 2,102,088 × 2,102,088
  4. Step 4: Simplify right side
    946,072x = 4,418,773,959,744
  5. Step 5: Solve for x
    x = 4,418,773,959,744/946,072
  6. Step 6: Final answer
    x = 4,670,652.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.