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Finding the Third Proportional to 767,586,396 and 1,122,593,136

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Solution

The third proportional to 767,586,396 and 1,122,593,136 is: 1,641,789,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,586,396 : 1,122,593,136 = 1,122,593,136 : x
  2. Step 2: Convert to fraction form
    767,586,396/1,122,593,136 = 1,122,593,136/x
  3. Step 3: Cross multiply
    767,586,396x = 1,122,593,136 × 1,122,593,136
  4. Step 4: Simplify right side
    767,586,396x = 1,260,215,348,994,314,496
  5. Step 5: Solve for x
    x = 1,260,215,348,994,314,496/767,586,396
  6. Step 6: Final answer
    x = 1,641,789,582.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.