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Finding the Third Proportional to 625,112 and 968,556

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Solution

The third proportional to 625,112 and 968,556 is: 1,500,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,112 : 968,556 = 968,556 : x
  2. Step 2: Convert to fraction form
    625,112/968,556 = 968,556/x
  3. Step 3: Cross multiply
    625,112x = 968,556 × 968,556
  4. Step 4: Simplify right side
    625,112x = 938,100,725,136
  5. Step 5: Solve for x
    x = 938,100,725,136/625,112
  6. Step 6: Final answer
    x = 1,500,692.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.