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Finding the Third Proportional to 840,352 and 1,798,832

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Solution

The third proportional to 840,352 and 1,798,832 is: 3,850,525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,352 : 1,798,832 = 1,798,832 : x
  2. Step 2: Convert to fraction form
    840,352/1,798,832 = 1,798,832/x
  3. Step 3: Cross multiply
    840,352x = 1,798,832 × 1,798,832
  4. Step 4: Simplify right side
    840,352x = 3,235,796,564,224
  5. Step 5: Solve for x
    x = 3,235,796,564,224/840,352
  6. Step 6: Final answer
    x = 3,850,525.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.