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Finding the Third Proportional to 556,012 and 920,286

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Solution

The third proportional to 556,012 and 920,286 is: 1,523,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,012 : 920,286 = 920,286 : x
  2. Step 2: Convert to fraction form
    556,012/920,286 = 920,286/x
  3. Step 3: Cross multiply
    556,012x = 920,286 × 920,286
  4. Step 4: Simplify right side
    556,012x = 846,926,321,796
  5. Step 5: Solve for x
    x = 846,926,321,796/556,012
  6. Step 6: Final answer
    x = 1,523,215.91

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.