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Finding the Third Proportional to 402,596 and 880,918

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Solution

The third proportional to 402,596 and 880,918 is: 1,927,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,596 : 880,918 = 880,918 : x
  2. Step 2: Convert to fraction form
    402,596/880,918 = 880,918/x
  3. Step 3: Cross multiply
    402,596x = 880,918 × 880,918
  4. Step 4: Simplify right side
    402,596x = 776,016,522,724
  5. Step 5: Solve for x
    x = 776,016,522,724/402,596
  6. Step 6: Final answer
    x = 1,927,531.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.