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Finding the Third Proportional to 813,830 and 1,767,764

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Solution

The third proportional to 813,830 and 1,767,764 is: 3,839,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,830 : 1,767,764 = 1,767,764 : x
  2. Step 2: Convert to fraction form
    813,830/1,767,764 = 1,767,764/x
  3. Step 3: Cross multiply
    813,830x = 1,767,764 × 1,767,764
  4. Step 4: Simplify right side
    813,830x = 3,124,989,559,696
  5. Step 5: Solve for x
    x = 3,124,989,559,696/813,830
  6. Step 6: Final answer
    x = 3,839,855.45

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