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Finding the Third Proportional to 970,902 and 2,111,199.75

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Solution

The third proportional to 970,902 and 2,111,199.75 is: 4,590,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,902 : 2,111,199.75 = 2,111,199.75 : x
  2. Step 2: Convert to fraction form
    970,902/2,111,199.75 = 2,111,199.75/x
  3. Step 3: Cross multiply
    970,902x = 2,111,199.75 × 2,111,199.75
  4. Step 4: Simplify right side
    970,902x = 4,457,164,384,400.06
  5. Step 5: Solve for x
    x = 4,457,164,384,400.06/970,902
  6. Step 6: Final answer
    x = 4,590,745.91

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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.