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Finding the Third Proportional to 426,595.15 and 918,220.24

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Solution

The third proportional to 426,595.15 and 918,220.24 is: 1,976,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,595.15 : 918,220.24 = 918,220.24 : x
  2. Step 2: Convert to fraction form
    426,595.15/918,220.24 = 918,220.24/x
  3. Step 3: Cross multiply
    426,595.15x = 918,220.24 × 918,220.24
  4. Step 4: Simplify right side
    426,595.15x = 843,128,407,950.91
  5. Step 5: Solve for x
    x = 843,128,407,950.91/426,595.15
  6. Step 6: Final answer
    x = 1,976,413.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.