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Finding the Third Proportional to 505,280 and 1,080,572

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Solution

The third proportional to 505,280 and 1,080,572 is: 2,310,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,280 : 1,080,572 = 1,080,572 : x
  2. Step 2: Convert to fraction form
    505,280/1,080,572 = 1,080,572/x
  3. Step 3: Cross multiply
    505,280x = 1,080,572 × 1,080,572
  4. Step 4: Simplify right side
    505,280x = 1,167,635,847,184
  5. Step 5: Solve for x
    x = 1,167,635,847,184/505,280
  6. Step 6: Final answer
    x = 2,310,868.92

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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.