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Finding the Third Proportional to 410,420 and 877,583

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Solution

The third proportional to 410,420 and 877,583 is: 1,876,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,420 : 877,583 = 877,583 : x
  2. Step 2: Convert to fraction form
    410,420/877,583 = 877,583/x
  3. Step 3: Cross multiply
    410,420x = 877,583 × 877,583
  4. Step 4: Simplify right side
    410,420x = 770,151,921,889
  5. Step 5: Solve for x
    x = 770,151,921,889/410,420
  6. Step 6: Final answer
    x = 1,876,497.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.