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Finding the Third Proportional to 912,800 and 2,035,480

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Solution

The third proportional to 912,800 and 2,035,480 is: 4,538,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,800 : 2,035,480 = 2,035,480 : x
  2. Step 2: Convert to fraction form
    912,800/2,035,480 = 2,035,480/x
  3. Step 3: Cross multiply
    912,800x = 2,035,480 × 2,035,480
  4. Step 4: Simplify right side
    912,800x = 4,143,178,830,400
  5. Step 5: Solve for x
    x = 4,143,178,830,400/912,800
  6. Step 6: Final answer
    x = 4,538,977.68

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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.