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Finding the Third Proportional to 514,926 and 1,076,932

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Solution

The third proportional to 514,926 and 1,076,932 is: 2,252,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,926 : 1,076,932 = 1,076,932 : x
  2. Step 2: Convert to fraction form
    514,926/1,076,932 = 1,076,932/x
  3. Step 3: Cross multiply
    514,926x = 1,076,932 × 1,076,932
  4. Step 4: Simplify right side
    514,926x = 1,159,782,532,624
  5. Step 5: Solve for x
    x = 1,159,782,532,624/514,926
  6. Step 6: Final answer
    x = 2,252,328.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.