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Finding the Third Proportional to 970,564 and 2,108,795

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Solution

The third proportional to 970,564 and 2,108,795 is: 4,581,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,564 : 2,108,795 = 2,108,795 : x
  2. Step 2: Convert to fraction form
    970,564/2,108,795 = 2,108,795/x
  3. Step 3: Cross multiply
    970,564x = 2,108,795 × 2,108,795
  4. Step 4: Simplify right side
    970,564x = 4,447,016,352,025
  5. Step 5: Solve for x
    x = 4,447,016,352,025/970,564
  6. Step 6: Final answer
    x = 4,581,888.83

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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.