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Finding the Third Proportional to 747,816 and 1,160,136

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Solution

The third proportional to 747,816 and 1,160,136 is: 1,799,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,816 : 1,160,136 = 1,160,136 : x
  2. Step 2: Convert to fraction form
    747,816/1,160,136 = 1,160,136/x
  3. Step 3: Cross multiply
    747,816x = 1,160,136 × 1,160,136
  4. Step 4: Simplify right side
    747,816x = 1,345,915,538,496
  5. Step 5: Solve for x
    x = 1,345,915,538,496/747,816
  6. Step 6: Final answer
    x = 1,799,795.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.