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Finding the Third Proportional to 1,949,472 and 4,347,190

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Solution

The third proportional to 1,949,472 and 4,347,190 is: 9,693,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,472 : 4,347,190 = 4,347,190 : x
  2. Step 2: Convert to fraction form
    1,949,472/4,347,190 = 4,347,190/x
  3. Step 3: Cross multiply
    1,949,472x = 4,347,190 × 4,347,190
  4. Step 4: Simplify right side
    1,949,472x = 18,898,060,896,100
  5. Step 5: Solve for x
    x = 18,898,060,896,100/1,949,472
  6. Step 6: Final answer
    x = 9,693,938.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.