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Finding the Third Proportional to 806,944 and 1,187,052

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Solution

The third proportional to 806,944 and 1,187,052 is: 1,746,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,944 : 1,187,052 = 1,187,052 : x
  2. Step 2: Convert to fraction form
    806,944/1,187,052 = 1,187,052/x
  3. Step 3: Cross multiply
    806,944x = 1,187,052 × 1,187,052
  4. Step 4: Simplify right side
    806,944x = 1,409,092,450,704
  5. Step 5: Solve for x
    x = 1,409,092,450,704/806,944
  6. Step 6: Final answer
    x = 1,746,208.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.