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Finding the Third Proportional to 975,825 and 2,114,550

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Solution

The third proportional to 975,825 and 2,114,550 is: 4,582,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,825 : 2,114,550 = 2,114,550 : x
  2. Step 2: Convert to fraction form
    975,825/2,114,550 = 2,114,550/x
  3. Step 3: Cross multiply
    975,825x = 2,114,550 × 2,114,550
  4. Step 4: Simplify right side
    975,825x = 4,471,321,702,500
  5. Step 5: Solve for x
    x = 4,471,321,702,500/975,825
  6. Step 6: Final answer
    x = 4,582,093.82

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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.