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Finding the Third Proportional to 973,574 and 2,091,068

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Solution

The third proportional to 973,574 and 2,091,068 is: 4,491,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,574 : 2,091,068 = 2,091,068 : x
  2. Step 2: Convert to fraction form
    973,574/2,091,068 = 2,091,068/x
  3. Step 3: Cross multiply
    973,574x = 2,091,068 × 2,091,068
  4. Step 4: Simplify right side
    973,574x = 4,372,565,380,624
  5. Step 5: Solve for x
    x = 4,372,565,380,624/973,574
  6. Step 6: Final answer
    x = 4,491,251.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.