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Finding the Third Proportional to 983,966 and 1,475,961

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Solution

The third proportional to 983,966 and 1,475,961 is: 2,213,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,966 : 1,475,961 = 1,475,961 : x
  2. Step 2: Convert to fraction form
    983,966/1,475,961 = 1,475,961/x
  3. Step 3: Cross multiply
    983,966x = 1,475,961 × 1,475,961
  4. Step 4: Simplify right side
    983,966x = 2,178,460,873,521
  5. Step 5: Solve for x
    x = 2,178,460,873,521/983,966
  6. Step 6: Final answer
    x = 2,213,959.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.