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Finding the Third Proportional to 722,904.75 and 1,076,464.69

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Solution

The third proportional to 722,904.75 and 1,076,464.69 is: 1,602,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,904.75 : 1,076,464.69 = 1,076,464.69 : x
  2. Step 2: Convert to fraction form
    722,904.75/1,076,464.69 = 1,076,464.69/x
  3. Step 3: Cross multiply
    722,904.75x = 1,076,464.69 × 1,076,464.69
  4. Step 4: Simplify right side
    722,904.75x = 1,158,776,223,434.47
  5. Step 5: Solve for x
    x = 1,158,776,223,434.47/722,904.75
  6. Step 6: Final answer
    x = 1,602,944.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.