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Finding the Third Proportional to 386,683 and 849,535

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Solution

The third proportional to 386,683 and 849,535 is: 1,866,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,683 : 849,535 = 849,535 : x
  2. Step 2: Convert to fraction form
    386,683/849,535 = 849,535/x
  3. Step 3: Cross multiply
    386,683x = 849,535 × 849,535
  4. Step 4: Simplify right side
    386,683x = 721,709,716,225
  5. Step 5: Solve for x
    x = 721,709,716,225/386,683
  6. Step 6: Final answer
    x = 1,866,411.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.