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Finding the Third Proportional to 409,064 and 883,464

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Solution

The third proportional to 409,064 and 883,464 is: 1,908,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,064 : 883,464 = 883,464 : x
  2. Step 2: Convert to fraction form
    409,064/883,464 = 883,464/x
  3. Step 3: Cross multiply
    409,064x = 883,464 × 883,464
  4. Step 4: Simplify right side
    409,064x = 780,508,639,296
  5. Step 5: Solve for x
    x = 780,508,639,296/409,064
  6. Step 6: Final answer
    x = 1,908,035.51

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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.