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Finding the Third Proportional to 852,303 and 1,420,336

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Solution

The third proportional to 852,303 and 1,420,336 is: 2,366,945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,303 : 1,420,336 = 1,420,336 : x
  2. Step 2: Convert to fraction form
    852,303/1,420,336 = 1,420,336/x
  3. Step 3: Cross multiply
    852,303x = 1,420,336 × 1,420,336
  4. Step 4: Simplify right side
    852,303x = 2,017,354,352,896
  5. Step 5: Solve for x
    x = 2,017,354,352,896/852,303
  6. Step 6: Final answer
    x = 2,366,945.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.