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Finding the Third Proportional to 713,671 and 972,064

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Solution

The third proportional to 713,671 and 972,064 is: 1,324,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,671 : 972,064 = 972,064 : x
  2. Step 2: Convert to fraction form
    713,671/972,064 = 972,064/x
  3. Step 3: Cross multiply
    713,671x = 972,064 × 972,064
  4. Step 4: Simplify right side
    713,671x = 944,908,420,096
  5. Step 5: Solve for x
    x = 944,908,420,096/713,671
  6. Step 6: Final answer
    x = 1,324,011.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.