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Finding the Third Proportional to 537,903 and 1,170,426

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Solution

The third proportional to 537,903 and 1,170,426 is: 2,546,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,903 : 1,170,426 = 1,170,426 : x
  2. Step 2: Convert to fraction form
    537,903/1,170,426 = 1,170,426/x
  3. Step 3: Cross multiply
    537,903x = 1,170,426 × 1,170,426
  4. Step 4: Simplify right side
    537,903x = 1,369,897,021,476
  5. Step 5: Solve for x
    x = 1,369,897,021,476/537,903
  6. Step 6: Final answer
    x = 2,546,736.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.