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Finding the Third Proportional to 975,534 and 2,086,662

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Solution

The third proportional to 975,534 and 2,086,662 is: 4,463,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,534 : 2,086,662 = 2,086,662 : x
  2. Step 2: Convert to fraction form
    975,534/2,086,662 = 2,086,662/x
  3. Step 3: Cross multiply
    975,534x = 2,086,662 × 2,086,662
  4. Step 4: Simplify right side
    975,534x = 4,354,158,302,244
  5. Step 5: Solve for x
    x = 4,354,158,302,244/975,534
  6. Step 6: Final answer
    x = 4,463,358.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.