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Finding the Third Proportional to 916,112 and 1,346,772

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Solution

The third proportional to 916,112 and 1,346,772 is: 1,979,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,112 : 1,346,772 = 1,346,772 : x
  2. Step 2: Convert to fraction form
    916,112/1,346,772 = 1,346,772/x
  3. Step 3: Cross multiply
    916,112x = 1,346,772 × 1,346,772
  4. Step 4: Simplify right side
    916,112x = 1,813,794,819,984
  5. Step 5: Solve for x
    x = 1,813,794,819,984/916,112
  6. Step 6: Final answer
    x = 1,979,883.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.