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Finding the Third Proportional to 806,156 and 1,205,018

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Solution

The third proportional to 806,156 and 1,205,018 is: 1,801,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,156 : 1,205,018 = 1,205,018 : x
  2. Step 2: Convert to fraction form
    806,156/1,205,018 = 1,205,018/x
  3. Step 3: Cross multiply
    806,156x = 1,205,018 × 1,205,018
  4. Step 4: Simplify right side
    806,156x = 1,452,068,380,324
  5. Step 5: Solve for x
    x = 1,452,068,380,324/806,156
  6. Step 6: Final answer
    x = 1,801,225.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.