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Finding the Third Proportional to 496,920 and 1,072,944

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Solution

The third proportional to 496,920 and 1,072,944 is: 2,316,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,920 : 1,072,944 = 1,072,944 : x
  2. Step 2: Convert to fraction form
    496,920/1,072,944 = 1,072,944/x
  3. Step 3: Cross multiply
    496,920x = 1,072,944 × 1,072,944
  4. Step 4: Simplify right side
    496,920x = 1,151,208,827,136
  5. Step 5: Solve for x
    x = 1,151,208,827,136/496,920
  6. Step 6: Final answer
    x = 2,316,688.46

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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.