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Finding the Third Proportional to 1,728,824 and 4,019,156

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Solution

The third proportional to 1,728,824 and 4,019,156 is: 9,343,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,824 : 4,019,156 = 4,019,156 : x
  2. Step 2: Convert to fraction form
    1,728,824/4,019,156 = 4,019,156/x
  3. Step 3: Cross multiply
    1,728,824x = 4,019,156 × 4,019,156
  4. Step 4: Simplify right side
    1,728,824x = 16,153,614,952,336
  5. Step 5: Solve for x
    x = 16,153,614,952,336/1,728,824
  6. Step 6: Final answer
    x = 9,343,701.24

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.