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Finding the Third Proportional to 575,728,884 and 820,529,802

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Solution

The third proportional to 575,728,884 and 820,529,802 is: 1,169,420,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,728,884 : 820,529,802 = 820,529,802 : x
  2. Step 2: Convert to fraction form
    575,728,884/820,529,802 = 820,529,802/x
  3. Step 3: Cross multiply
    575,728,884x = 820,529,802 × 820,529,802
  4. Step 4: Simplify right side
    575,728,884x = 673,269,155,970,159,232
  5. Step 5: Solve for x
    x = 673,269,155,970,159,232/575,728,884
  6. Step 6: Final answer
    x = 1,169,420,494.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.