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Finding the Third Proportional to 739,971 and 1,106,982

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Solution

The third proportional to 739,971 and 1,106,982 is: 1,656,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,971 : 1,106,982 = 1,106,982 : x
  2. Step 2: Convert to fraction form
    739,971/1,106,982 = 1,106,982/x
  3. Step 3: Cross multiply
    739,971x = 1,106,982 × 1,106,982
  4. Step 4: Simplify right side
    739,971x = 1,225,409,148,324
  5. Step 5: Solve for x
    x = 1,225,409,148,324/739,971
  6. Step 6: Final answer
    x = 1,656,023.21

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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.