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Finding the Third Proportional to 644,788 and 968,802

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Solution

The third proportional to 644,788 and 968,802 is: 1,455,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,788 : 968,802 = 968,802 : x
  2. Step 2: Convert to fraction form
    644,788/968,802 = 968,802/x
  3. Step 3: Cross multiply
    644,788x = 968,802 × 968,802
  4. Step 4: Simplify right side
    644,788x = 938,577,315,204
  5. Step 5: Solve for x
    x = 938,577,315,204/644,788
  6. Step 6: Final answer
    x = 1,455,637.07

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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.