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Finding the Third Proportional to 912,789 and 2,035,458

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Solution

The third proportional to 912,789 and 2,035,458 is: 4,538,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,789 : 2,035,458 = 2,035,458 : x
  2. Step 2: Convert to fraction form
    912,789/2,035,458 = 2,035,458/x
  3. Step 3: Cross multiply
    912,789x = 2,035,458 × 2,035,458
  4. Step 4: Simplify right side
    912,789x = 4,143,089,269,764
  5. Step 5: Solve for x
    x = 4,143,089,269,764/912,789
  6. Step 6: Final answer
    x = 4,538,934.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.