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Finding the Third Proportional to 514,938 and 1,076,958

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Solution

The third proportional to 514,938 and 1,076,958 is: 2,252,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,938 : 1,076,958 = 1,076,958 : x
  2. Step 2: Convert to fraction form
    514,938/1,076,958 = 1,076,958/x
  3. Step 3: Cross multiply
    514,938x = 1,076,958 × 1,076,958
  4. Step 4: Simplify right side
    514,938x = 1,159,838,533,764
  5. Step 5: Solve for x
    x = 1,159,838,533,764/514,938
  6. Step 6: Final answer
    x = 2,252,384.82

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