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Finding the Third Proportional to 435,240,299 and 919,605,478

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Solution

The third proportional to 435,240,299 and 919,605,478 is: 1,943,005,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,240,299 : 919,605,478 = 919,605,478 : x
  2. Step 2: Convert to fraction form
    435,240,299/919,605,478 = 919,605,478/x
  3. Step 3: Cross multiply
    435,240,299x = 919,605,478 × 919,605,478
  4. Step 4: Simplify right side
    435,240,299x = 845,674,235,167,608,448
  5. Step 5: Solve for x
    x = 845,674,235,167,608,448/435,240,299
  6. Step 6: Final answer
    x = 1,943,005,363.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.