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Finding the Third Proportional to 784,092 and 1,173,006

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Solution

The third proportional to 784,092 and 1,173,006 is: 1,754,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,092 : 1,173,006 = 1,173,006 : x
  2. Step 2: Convert to fraction form
    784,092/1,173,006 = 1,173,006/x
  3. Step 3: Cross multiply
    784,092x = 1,173,006 × 1,173,006
  4. Step 4: Simplify right side
    784,092x = 1,375,943,076,036
  5. Step 5: Solve for x
    x = 1,375,943,076,036/784,092
  6. Step 6: Final answer
    x = 1,754,823.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.