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Finding the Third Proportional to 529,216 and 1,138,304

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Solution

The third proportional to 529,216 and 1,138,304 is: 2,448,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,216 : 1,138,304 = 1,138,304 : x
  2. Step 2: Convert to fraction form
    529,216/1,138,304 = 1,138,304/x
  3. Step 3: Cross multiply
    529,216x = 1,138,304 × 1,138,304
  4. Step 4: Simplify right side
    529,216x = 1,295,735,996,416
  5. Step 5: Solve for x
    x = 1,295,735,996,416/529,216
  6. Step 6: Final answer
    x = 2,448,406.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.