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Finding the Third Proportional to 778,785 and 1,689,762

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Solution

The third proportional to 778,785 and 1,689,762 is: 3,666,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,785 : 1,689,762 = 1,689,762 : x
  2. Step 2: Convert to fraction form
    778,785/1,689,762 = 1,689,762/x
  3. Step 3: Cross multiply
    778,785x = 1,689,762 × 1,689,762
  4. Step 4: Simplify right side
    778,785x = 2,855,295,616,644
  5. Step 5: Solve for x
    x = 2,855,295,616,644/778,785
  6. Step 6: Final answer
    x = 3,666,346.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.