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Finding the Third Proportional to 441,648 and 953,280

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Solution

The third proportional to 441,648 and 953,280 is: 2,057,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,648 : 953,280 = 953,280 : x
  2. Step 2: Convert to fraction form
    441,648/953,280 = 953,280/x
  3. Step 3: Cross multiply
    441,648x = 953,280 × 953,280
  4. Step 4: Simplify right side
    441,648x = 908,742,758,400
  5. Step 5: Solve for x
    x = 908,742,758,400/441,648
  6. Step 6: Final answer
    x = 2,057,617.74

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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.