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Finding the Third Proportional to 813,618 and 1,683,812

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Solution

The third proportional to 813,618 and 1,683,812 is: 3,484,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,618 : 1,683,812 = 1,683,812 : x
  2. Step 2: Convert to fraction form
    813,618/1,683,812 = 1,683,812/x
  3. Step 3: Cross multiply
    813,618x = 1,683,812 × 1,683,812
  4. Step 4: Simplify right side
    813,618x = 2,835,222,851,344
  5. Step 5: Solve for x
    x = 2,835,222,851,344/813,618
  6. Step 6: Final answer
    x = 3,484,710.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.