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Finding the Third Proportional to 506,548 and 1,080,900

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Solution

The third proportional to 506,548 and 1,080,900 is: 2,306,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,548 : 1,080,900 = 1,080,900 : x
  2. Step 2: Convert to fraction form
    506,548/1,080,900 = 1,080,900/x
  3. Step 3: Cross multiply
    506,548x = 1,080,900 × 1,080,900
  4. Step 4: Simplify right side
    506,548x = 1,168,344,810,000
  5. Step 5: Solve for x
    x = 1,168,344,810,000/506,548
  6. Step 6: Final answer
    x = 2,306,483.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.