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Finding the Third Proportional to 975,969 and 2,114,856

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Solution

The third proportional to 975,969 and 2,114,856 is: 4,582,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,969 : 2,114,856 = 2,114,856 : x
  2. Step 2: Convert to fraction form
    975,969/2,114,856 = 2,114,856/x
  3. Step 3: Cross multiply
    975,969x = 2,114,856 × 2,114,856
  4. Step 4: Simplify right side
    975,969x = 4,472,615,900,736
  5. Step 5: Solve for x
    x = 4,472,615,900,736/975,969
  6. Step 6: Final answer
    x = 4,582,743.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.