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Finding the Third Proportional to 514,932 and 1,076,948

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Solution

The third proportional to 514,932 and 1,076,948 is: 2,252,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,932 : 1,076,948 = 1,076,948 : x
  2. Step 2: Convert to fraction form
    514,932/1,076,948 = 1,076,948/x
  3. Step 3: Cross multiply
    514,932x = 1,076,948 × 1,076,948
  4. Step 4: Simplify right side
    514,932x = 1,159,816,994,704
  5. Step 5: Solve for x
    x = 1,159,816,994,704/514,932
  6. Step 6: Final answer
    x = 2,252,369.23

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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.