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Finding the Third Proportional to 936,065 and 1,410,713

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Solution

The third proportional to 936,065 and 1,410,713 is: 2,126,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,065 : 1,410,713 = 1,410,713 : x
  2. Step 2: Convert to fraction form
    936,065/1,410,713 = 1,410,713/x
  3. Step 3: Cross multiply
    936,065x = 1,410,713 × 1,410,713
  4. Step 4: Simplify right side
    936,065x = 1,990,111,168,369
  5. Step 5: Solve for x
    x = 1,990,111,168,369/936,065
  6. Step 6: Final answer
    x = 2,126,039.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.