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Finding the Third Proportional to 813,617 and 1,683,810

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Solution

The third proportional to 813,617 and 1,683,810 is: 3,484,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,617 : 1,683,810 = 1,683,810 : x
  2. Step 2: Convert to fraction form
    813,617/1,683,810 = 1,683,810/x
  3. Step 3: Cross multiply
    813,617x = 1,683,810 × 1,683,810
  4. Step 4: Simplify right side
    813,617x = 2,835,216,116,100
  5. Step 5: Solve for x
    x = 2,835,216,116,100/813,617
  6. Step 6: Final answer
    x = 3,484,706.09

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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.