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Finding the Third Proportional to 441,639 and 953,829

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Solution

The third proportional to 441,639 and 953,829 is: 2,060,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,639 : 953,829 = 953,829 : x
  2. Step 2: Convert to fraction form
    441,639/953,829 = 953,829/x
  3. Step 3: Cross multiply
    441,639x = 953,829 × 953,829
  4. Step 4: Simplify right side
    441,639x = 909,789,761,241
  5. Step 5: Solve for x
    x = 909,789,761,241/441,639
  6. Step 6: Final answer
    x = 2,060,030.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.