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Finding the Third Proportional to 702,971 and 1,064,317

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Solution

The third proportional to 702,971 and 1,064,317 is: 1,611,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,971 : 1,064,317 = 1,064,317 : x
  2. Step 2: Convert to fraction form
    702,971/1,064,317 = 1,064,317/x
  3. Step 3: Cross multiply
    702,971x = 1,064,317 × 1,064,317
  4. Step 4: Simplify right side
    702,971x = 1,132,770,676,489
  5. Step 5: Solve for x
    x = 1,132,770,676,489/702,971
  6. Step 6: Final answer
    x = 1,611,404.56

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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.