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Finding the Third Proportional to 525,948 and 1,152,008

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Solution

The third proportional to 525,948 and 1,152,008 is: 2,523,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,948 : 1,152,008 = 1,152,008 : x
  2. Step 2: Convert to fraction form
    525,948/1,152,008 = 1,152,008/x
  3. Step 3: Cross multiply
    525,948x = 1,152,008 × 1,152,008
  4. Step 4: Simplify right side
    525,948x = 1,327,122,432,064
  5. Step 5: Solve for x
    x = 1,327,122,432,064/525,948
  6. Step 6: Final answer
    x = 2,523,295.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.