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Finding the Third Proportional to 970,927 and 2,112,278

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Solution

The third proportional to 970,927 and 2,112,278 is: 4,595,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,927 : 2,112,278 = 2,112,278 : x
  2. Step 2: Convert to fraction form
    970,927/2,112,278 = 2,112,278/x
  3. Step 3: Cross multiply
    970,927x = 2,112,278 × 2,112,278
  4. Step 4: Simplify right side
    970,927x = 4,461,718,349,284
  5. Step 5: Solve for x
    x = 4,461,718,349,284/970,927
  6. Step 6: Final answer
    x = 4,595,318.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.