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Finding the Third Proportional to 903,816 and 1,947,598

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Solution

The third proportional to 903,816 and 1,947,598 is: 4,196,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,816 : 1,947,598 = 1,947,598 : x
  2. Step 2: Convert to fraction form
    903,816/1,947,598 = 1,947,598/x
  3. Step 3: Cross multiply
    903,816x = 1,947,598 × 1,947,598
  4. Step 4: Simplify right side
    903,816x = 3,793,137,969,604
  5. Step 5: Solve for x
    x = 3,793,137,969,604/903,816
  6. Step 6: Final answer
    x = 4,196,803.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.