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Finding the Third Proportional to 700,198 and 1,688,125

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Solution

The third proportional to 700,198 and 1,688,125 is: 4,069,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,198 : 1,688,125 = 1,688,125 : x
  2. Step 2: Convert to fraction form
    700,198/1,688,125 = 1,688,125/x
  3. Step 3: Cross multiply
    700,198x = 1,688,125 × 1,688,125
  4. Step 4: Simplify right side
    700,198x = 2,849,766,015,625
  5. Step 5: Solve for x
    x = 2,849,766,015,625/700,198
  6. Step 6: Final answer
    x = 4,069,943.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.