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Finding the Third Proportional to 434,461.22 and 908,647.24

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Solution

The third proportional to 434,461.22 and 908,647.24 is: 1,900,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,461.22 : 908,647.24 = 908,647.24 : x
  2. Step 2: Convert to fraction form
    434,461.22/908,647.24 = 908,647.24/x
  3. Step 3: Cross multiply
    434,461.22x = 908,647.24 × 908,647.24
  4. Step 4: Simplify right side
    434,461.22x = 825,639,810,734.95
  5. Step 5: Solve for x
    x = 825,639,810,734.95/434,461.22
  6. Step 6: Final answer
    x = 1,900,376.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.