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Finding the Third Proportional to 970,906 and 2,111,208

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Solution

The third proportional to 970,906 and 2,111,208 is: 4,590,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,906 : 2,111,208 = 2,111,208 : x
  2. Step 2: Convert to fraction form
    970,906/2,111,208 = 2,111,208/x
  3. Step 3: Cross multiply
    970,906x = 2,111,208 × 2,111,208
  4. Step 4: Simplify right side
    970,906x = 4,457,199,219,264
  5. Step 5: Solve for x
    x = 4,457,199,219,264/970,906
  6. Step 6: Final answer
    x = 4,590,762.87

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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.