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Finding the Third Proportional to 285,724,984 and 620,158,832

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Solution

The third proportional to 285,724,984 and 620,158,832 is: 1,346,039,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,724,984 : 620,158,832 = 620,158,832 : x
  2. Step 2: Convert to fraction form
    285,724,984/620,158,832 = 620,158,832/x
  3. Step 3: Cross multiply
    285,724,984x = 620,158,832 × 620,158,832
  4. Step 4: Simplify right side
    285,724,984x = 384,596,976,907,604,224
  5. Step 5: Solve for x
    x = 384,596,976,907,604,224/285,724,984
  6. Step 6: Final answer
    x = 1,346,039,018.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.