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Finding the Third Proportional to 506,466 and 1,183,221

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Solution

The third proportional to 506,466 and 1,183,221 is: 2,764,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,466 : 1,183,221 = 1,183,221 : x
  2. Step 2: Convert to fraction form
    506,466/1,183,221 = 1,183,221/x
  3. Step 3: Cross multiply
    506,466x = 1,183,221 × 1,183,221
  4. Step 4: Simplify right side
    506,466x = 1,400,011,934,841
  5. Step 5: Solve for x
    x = 1,400,011,934,841/506,466
  6. Step 6: Final answer
    x = 2,764,276.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.