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Finding the Third Proportional to 776,524 and 1,590,688

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Solution

The third proportional to 776,524 and 1,590,688 is: 3,258,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,524 : 1,590,688 = 1,590,688 : x
  2. Step 2: Convert to fraction form
    776,524/1,590,688 = 1,590,688/x
  3. Step 3: Cross multiply
    776,524x = 1,590,688 × 1,590,688
  4. Step 4: Simplify right side
    776,524x = 2,530,288,313,344
  5. Step 5: Solve for x
    x = 2,530,288,313,344/776,524
  6. Step 6: Final answer
    x = 3,258,480.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.