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Finding the Third Proportional to 500,342 and 1,076,667

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Solution

The third proportional to 500,342 and 1,076,667 is: 2,316,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,342 : 1,076,667 = 1,076,667 : x
  2. Step 2: Convert to fraction form
    500,342/1,076,667 = 1,076,667/x
  3. Step 3: Cross multiply
    500,342x = 1,076,667 × 1,076,667
  4. Step 4: Simplify right side
    500,342x = 1,159,211,828,889
  5. Step 5: Solve for x
    x = 1,159,211,828,889/500,342
  6. Step 6: Final answer
    x = 2,316,838.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.