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Finding the Third Proportional to 702,976 and 1,064,324

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Solution

The third proportional to 702,976 and 1,064,324 is: 1,611,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,976 : 1,064,324 = 1,064,324 : x
  2. Step 2: Convert to fraction form
    702,976/1,064,324 = 1,064,324/x
  3. Step 3: Cross multiply
    702,976x = 1,064,324 × 1,064,324
  4. Step 4: Simplify right side
    702,976x = 1,132,785,576,976
  5. Step 5: Solve for x
    x = 1,132,785,576,976/702,976
  6. Step 6: Final answer
    x = 1,611,414.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.