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Finding the Third Proportional to 896,480 and 1,942,296

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Solution

The third proportional to 896,480 and 1,942,296 is: 4,208,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,480 : 1,942,296 = 1,942,296 : x
  2. Step 2: Convert to fraction form
    896,480/1,942,296 = 1,942,296/x
  3. Step 3: Cross multiply
    896,480x = 1,942,296 × 1,942,296
  4. Step 4: Simplify right side
    896,480x = 3,772,513,751,616
  5. Step 5: Solve for x
    x = 3,772,513,751,616/896,480
  6. Step 6: Final answer
    x = 4,208,140.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.