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Finding the Third Proportional to 578,606,736 and 873,290,820

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Solution

The third proportional to 578,606,736 and 873,290,820 is: 1,318,057,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,606,736 : 873,290,820 = 873,290,820 : x
  2. Step 2: Convert to fraction form
    578,606,736/873,290,820 = 873,290,820/x
  3. Step 3: Cross multiply
    578,606,736x = 873,290,820 × 873,290,820
  4. Step 4: Simplify right side
    578,606,736x = 762,636,856,296,272,384
  5. Step 5: Solve for x
    x = 762,636,856,296,272,384/578,606,736
  6. Step 6: Final answer
    x = 1,318,057,341.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.