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Finding the Third Proportional to 434,473 and 908,671

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Solution

The third proportional to 434,473 and 908,671 is: 1,900,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,473 : 908,671 = 908,671 : x
  2. Step 2: Convert to fraction form
    434,473/908,671 = 908,671/x
  3. Step 3: Cross multiply
    434,473x = 908,671 × 908,671
  4. Step 4: Simplify right side
    434,473x = 825,682,986,241
  5. Step 5: Solve for x
    x = 825,682,986,241/434,473
  6. Step 6: Final answer
    x = 1,900,424.16

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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.