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Finding the Third Proportional to 516,306 and 1,111,710

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Solution

The third proportional to 516,306 and 1,111,710 is: 2,393,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,306 : 1,111,710 = 1,111,710 : x
  2. Step 2: Convert to fraction form
    516,306/1,111,710 = 1,111,710/x
  3. Step 3: Cross multiply
    516,306x = 1,111,710 × 1,111,710
  4. Step 4: Simplify right side
    516,306x = 1,235,899,124,100
  5. Step 5: Solve for x
    x = 1,235,899,124,100/516,306
  6. Step 6: Final answer
    x = 2,393,733.80

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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.