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Finding the Third Proportional to 1,159,709 and 2,352,201

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Solution

The third proportional to 1,159,709 and 2,352,201 is: 4,770,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,709 : 2,352,201 = 2,352,201 : x
  2. Step 2: Convert to fraction form
    1,159,709/2,352,201 = 2,352,201/x
  3. Step 3: Cross multiply
    1,159,709x = 2,352,201 × 2,352,201
  4. Step 4: Simplify right side
    1,159,709x = 5,532,849,544,401
  5. Step 5: Solve for x
    x = 5,532,849,544,401/1,159,709
  6. Step 6: Final answer
    x = 4,770,894.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.