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Finding the Third Proportional to 445,356 and 953,772

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Solution

The third proportional to 445,356 and 953,772 is: 2,042,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,356 : 953,772 = 953,772 : x
  2. Step 2: Convert to fraction form
    445,356/953,772 = 953,772/x
  3. Step 3: Cross multiply
    445,356x = 953,772 × 953,772
  4. Step 4: Simplify right side
    445,356x = 909,681,027,984
  5. Step 5: Solve for x
    x = 909,681,027,984/445,356
  6. Step 6: Final answer
    x = 2,042,592.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.