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Finding the Third Proportional to 970,569 and 2,108,805

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Solution

The third proportional to 970,569 and 2,108,805 is: 4,581,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,569 : 2,108,805 = 2,108,805 : x
  2. Step 2: Convert to fraction form
    970,569/2,108,805 = 2,108,805/x
  3. Step 3: Cross multiply
    970,569x = 2,108,805 × 2,108,805
  4. Step 4: Simplify right side
    970,569x = 4,447,058,528,025
  5. Step 5: Solve for x
    x = 4,447,058,528,025/970,569
  6. Step 6: Final answer
    x = 4,581,908.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.