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Finding the Third Proportional to 496,955 and 1,072,594

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Solution

The third proportional to 496,955 and 1,072,594 is: 2,315,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,955 : 1,072,594 = 1,072,594 : x
  2. Step 2: Convert to fraction form
    496,955/1,072,594 = 1,072,594/x
  3. Step 3: Cross multiply
    496,955x = 1,072,594 × 1,072,594
  4. Step 4: Simplify right side
    496,955x = 1,150,457,888,836
  5. Step 5: Solve for x
    x = 1,150,457,888,836/496,955
  6. Step 6: Final answer
    x = 2,315,014.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.