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Finding the Third Proportional to 702,963 and 1,064,305

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Solution

The third proportional to 702,963 and 1,064,305 is: 1,611,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,963 : 1,064,305 = 1,064,305 : x
  2. Step 2: Convert to fraction form
    702,963/1,064,305 = 1,064,305/x
  3. Step 3: Cross multiply
    702,963x = 1,064,305 × 1,064,305
  4. Step 4: Simplify right side
    702,963x = 1,132,745,133,025
  5. Step 5: Solve for x
    x = 1,132,745,133,025/702,963
  6. Step 6: Final answer
    x = 1,611,386.56

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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.