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Finding the Third Proportional to 502,000 and 1,076,792

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Solution

The third proportional to 502,000 and 1,076,792 is: 2,309,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,000 : 1,076,792 = 1,076,792 : x
  2. Step 2: Convert to fraction form
    502,000/1,076,792 = 1,076,792/x
  3. Step 3: Cross multiply
    502,000x = 1,076,792 × 1,076,792
  4. Step 4: Simplify right side
    502,000x = 1,159,481,011,264
  5. Step 5: Solve for x
    x = 1,159,481,011,264/502,000
  6. Step 6: Final answer
    x = 2,309,723.13

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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.