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Finding the Third Proportional to 883,324 and 1,906,535

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Solution

The third proportional to 883,324 and 1,906,535 is: 4,114,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,324 : 1,906,535 = 1,906,535 : x
  2. Step 2: Convert to fraction form
    883,324/1,906,535 = 1,906,535/x
  3. Step 3: Cross multiply
    883,324x = 1,906,535 × 1,906,535
  4. Step 4: Simplify right side
    883,324x = 3,634,875,706,225
  5. Step 5: Solve for x
    x = 3,634,875,706,225/883,324
  6. Step 6: Final answer
    x = 4,114,997.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.