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Finding the Third Proportional to 442,428 and 942,768

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Solution

The third proportional to 442,428 and 942,768 is: 2,008,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,428 : 942,768 = 942,768 : x
  2. Step 2: Convert to fraction form
    442,428/942,768 = 942,768/x
  3. Step 3: Cross multiply
    442,428x = 942,768 × 942,768
  4. Step 4: Simplify right side
    442,428x = 888,811,501,824
  5. Step 5: Solve for x
    x = 888,811,501,824/442,428
  6. Step 6: Final answer
    x = 2,008,940.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.