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Finding the Third Proportional to 506,464 and 1,080,724

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Solution

The third proportional to 506,464 and 1,080,724 is: 2,306,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,464 : 1,080,724 = 1,080,724 : x
  2. Step 2: Convert to fraction form
    506,464/1,080,724 = 1,080,724/x
  3. Step 3: Cross multiply
    506,464x = 1,080,724 × 1,080,724
  4. Step 4: Simplify right side
    506,464x = 1,167,964,364,176
  5. Step 5: Solve for x
    x = 1,167,964,364,176/506,464
  6. Step 6: Final answer
    x = 2,306,115.27

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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.