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Finding the Third Proportional to 706,286 and 1,569,491

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Solution

The third proportional to 706,286 and 1,569,491 is: 3,487,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,286 : 1,569,491 = 1,569,491 : x
  2. Step 2: Convert to fraction form
    706,286/1,569,491 = 1,569,491/x
  3. Step 3: Cross multiply
    706,286x = 1,569,491 × 1,569,491
  4. Step 4: Simplify right side
    706,286x = 2,463,301,999,081
  5. Step 5: Solve for x
    x = 2,463,301,999,081/706,286
  6. Step 6: Final answer
    x = 3,487,683.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.