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Finding the Third Proportional to 514,904 and 1,076,860

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Solution

The third proportional to 514,904 and 1,076,860 is: 2,252,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,904 : 1,076,860 = 1,076,860 : x
  2. Step 2: Convert to fraction form
    514,904/1,076,860 = 1,076,860/x
  3. Step 3: Cross multiply
    514,904x = 1,076,860 × 1,076,860
  4. Step 4: Simplify right side
    514,904x = 1,159,627,459,600
  5. Step 5: Solve for x
    x = 1,159,627,459,600/514,904
  6. Step 6: Final answer
    x = 2,252,123.62

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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.