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Finding the Third Proportional to 912,780 and 2,035,438

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Solution

The third proportional to 912,780 and 2,035,438 is: 4,538,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,780 : 2,035,438 = 2,035,438 : x
  2. Step 2: Convert to fraction form
    912,780/2,035,438 = 2,035,438/x
  3. Step 3: Cross multiply
    912,780x = 2,035,438 × 2,035,438
  4. Step 4: Simplify right side
    912,780x = 4,143,007,851,844
  5. Step 5: Solve for x
    x = 4,143,007,851,844/912,780
  6. Step 6: Final answer
    x = 4,538,889.82

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