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Finding the Third Proportional to 970,940 and 2,112,312

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Solution

The third proportional to 970,940 and 2,112,312 is: 4,595,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,940 : 2,112,312 = 2,112,312 : x
  2. Step 2: Convert to fraction form
    970,940/2,112,312 = 2,112,312/x
  3. Step 3: Cross multiply
    970,940x = 2,112,312 × 2,112,312
  4. Step 4: Simplify right side
    970,940x = 4,461,861,985,344
  5. Step 5: Solve for x
    x = 4,461,861,985,344/970,940
  6. Step 6: Final answer
    x = 4,595,404.44

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