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Finding the Third Proportional to 662,142 and 1,025,064

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Solution

The third proportional to 662,142 and 1,025,064 is: 1,586,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,142 : 1,025,064 = 1,025,064 : x
  2. Step 2: Convert to fraction form
    662,142/1,025,064 = 1,025,064/x
  3. Step 3: Cross multiply
    662,142x = 1,025,064 × 1,025,064
  4. Step 4: Simplify right side
    662,142x = 1,050,756,204,096
  5. Step 5: Solve for x
    x = 1,050,756,204,096/662,142
  6. Step 6: Final answer
    x = 1,586,904.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.