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Finding the Third Proportional to 409,040 and 883,416

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Solution

The third proportional to 409,040 and 883,416 is: 1,907,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,040 : 883,416 = 883,416 : x
  2. Step 2: Convert to fraction form
    409,040/883,416 = 883,416/x
  3. Step 3: Cross multiply
    409,040x = 883,416 × 883,416
  4. Step 4: Simplify right side
    409,040x = 780,423,829,056
  5. Step 5: Solve for x
    x = 780,423,829,056/409,040
  6. Step 6: Final answer
    x = 1,907,940.13

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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.