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Finding the Third Proportional to 444,648 and 975,716

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Solution

The third proportional to 444,648 and 975,716 is: 2,141,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,648 : 975,716 = 975,716 : x
  2. Step 2: Convert to fraction form
    444,648/975,716 = 975,716/x
  3. Step 3: Cross multiply
    444,648x = 975,716 × 975,716
  4. Step 4: Simplify right side
    444,648x = 952,021,712,656
  5. Step 5: Solve for x
    x = 952,021,712,656/444,648
  6. Step 6: Final answer
    x = 2,141,068.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.