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Finding the Third Proportional to 702,982 and 1,064,330

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Solution

The third proportional to 702,982 and 1,064,330 is: 1,611,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,982 : 1,064,330 = 1,064,330 : x
  2. Step 2: Convert to fraction form
    702,982/1,064,330 = 1,064,330/x
  3. Step 3: Cross multiply
    702,982x = 1,064,330 × 1,064,330
  4. Step 4: Simplify right side
    702,982x = 1,132,798,348,900
  5. Step 5: Solve for x
    x = 1,132,798,348,900/702,982
  6. Step 6: Final answer
    x = 1,611,418.71

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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.