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Finding the Third Proportional to 410,164 and 885,752

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Solution

The third proportional to 410,164 and 885,752 is: 1,912,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,164 : 885,752 = 885,752 : x
  2. Step 2: Convert to fraction form
    410,164/885,752 = 885,752/x
  3. Step 3: Cross multiply
    410,164x = 885,752 × 885,752
  4. Step 4: Simplify right side
    410,164x = 784,556,605,504
  5. Step 5: Solve for x
    x = 784,556,605,504/410,164
  6. Step 6: Final answer
    x = 1,912,787.58

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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.