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Finding the Third Proportional to 780,822 and 1,060,641

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Solution

The third proportional to 780,822 and 1,060,641 is: 1,440,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,822 : 1,060,641 = 1,060,641 : x
  2. Step 2: Convert to fraction form
    780,822/1,060,641 = 1,060,641/x
  3. Step 3: Cross multiply
    780,822x = 1,060,641 × 1,060,641
  4. Step 4: Simplify right side
    780,822x = 1,124,959,330,881
  5. Step 5: Solve for x
    x = 1,124,959,330,881/780,822
  6. Step 6: Final answer
    x = 1,440,737.24

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.