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Finding the Third Proportional to 516,264 and 1,107,236

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Solution

The third proportional to 516,264 and 1,107,236 is: 2,374,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,264 : 1,107,236 = 1,107,236 : x
  2. Step 2: Convert to fraction form
    516,264/1,107,236 = 1,107,236/x
  3. Step 3: Cross multiply
    516,264x = 1,107,236 × 1,107,236
  4. Step 4: Simplify right side
    516,264x = 1,225,971,559,696
  5. Step 5: Solve for x
    x = 1,225,971,559,696/516,264
  6. Step 6: Final answer
    x = 2,374,698.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.