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Finding the Third Proportional to 893,031 and 1,347,747

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Solution

The third proportional to 893,031 and 1,347,747 is: 2,033,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,031 : 1,347,747 = 1,347,747 : x
  2. Step 2: Convert to fraction form
    893,031/1,347,747 = 1,347,747/x
  3. Step 3: Cross multiply
    893,031x = 1,347,747 × 1,347,747
  4. Step 4: Simplify right side
    893,031x = 1,816,421,976,009
  5. Step 5: Solve for x
    x = 1,816,421,976,009/893,031
  6. Step 6: Final answer
    x = 2,033,996.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.