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Finding the Third Proportional to 1,949,480 and 4,347,206

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Solution

The third proportional to 1,949,480 and 4,347,206 is: 9,693,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,480 : 4,347,206 = 4,347,206 : x
  2. Step 2: Convert to fraction form
    1,949,480/4,347,206 = 4,347,206/x
  3. Step 3: Cross multiply
    1,949,480x = 4,347,206 × 4,347,206
  4. Step 4: Simplify right side
    1,949,480x = 18,898,200,006,436
  5. Step 5: Solve for x
    x = 18,898,200,006,436/1,949,480
  6. Step 6: Final answer
    x = 9,693,969.68

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