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Finding the Third Proportional to 709,797 and 1,102,137

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Solution

The third proportional to 709,797 and 1,102,137 is: 1,711,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,797 : 1,102,137 = 1,102,137 : x
  2. Step 2: Convert to fraction form
    709,797/1,102,137 = 1,102,137/x
  3. Step 3: Cross multiply
    709,797x = 1,102,137 × 1,102,137
  4. Step 4: Simplify right side
    709,797x = 1,214,705,966,769
  5. Step 5: Solve for x
    x = 1,214,705,966,769/709,797
  6. Step 6: Final answer
    x = 1,711,342.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.