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Finding the Third Proportional to 806,124 and 1,145,854

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Solution

The third proportional to 806,124 and 1,145,854 is: 1,628,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,124 : 1,145,854 = 1,145,854 : x
  2. Step 2: Convert to fraction form
    806,124/1,145,854 = 1,145,854/x
  3. Step 3: Cross multiply
    806,124x = 1,145,854 × 1,145,854
  4. Step 4: Simplify right side
    806,124x = 1,312,981,389,316
  5. Step 5: Solve for x
    x = 1,312,981,389,316/806,124
  6. Step 6: Final answer
    x = 1,628,758.59

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.