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Finding the Third Proportional to 975,823 and 2,114,546

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Solution

The third proportional to 975,823 and 2,114,546 is: 4,582,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,823 : 2,114,546 = 2,114,546 : x
  2. Step 2: Convert to fraction form
    975,823/2,114,546 = 2,114,546/x
  3. Step 3: Cross multiply
    975,823x = 2,114,546 × 2,114,546
  4. Step 4: Simplify right side
    975,823x = 4,471,304,786,116
  5. Step 5: Solve for x
    x = 4,471,304,786,116/975,823
  6. Step 6: Final answer
    x = 4,582,085.88

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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.