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Finding the Third Proportional to 575,728,794 and 820,529,685

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Solution

The third proportional to 575,728,794 and 820,529,685 is: 1,169,420,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,728,794 : 820,529,685 = 820,529,685 : x
  2. Step 2: Convert to fraction form
    575,728,794/820,529,685 = 820,529,685/x
  3. Step 3: Cross multiply
    575,728,794x = 820,529,685 × 820,529,685
  4. Step 4: Simplify right side
    575,728,794x = 673,268,963,966,199,168
  5. Step 5: Solve for x
    x = 673,268,963,966,199,168/575,728,794
  6. Step 6: Final answer
    x = 1,169,420,343.37

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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.