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Finding the Third Proportional to 713,920 and 1,148,064

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Solution

The third proportional to 713,920 and 1,148,064 is: 1,846,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,920 : 1,148,064 = 1,148,064 : x
  2. Step 2: Convert to fraction form
    713,920/1,148,064 = 1,148,064/x
  3. Step 3: Cross multiply
    713,920x = 1,148,064 × 1,148,064
  4. Step 4: Simplify right side
    713,920x = 1,318,050,948,096
  5. Step 5: Solve for x
    x = 1,318,050,948,096/713,920
  6. Step 6: Final answer
    x = 1,846,216.59

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.