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Finding the Third Proportional to 1,461,669 and 3,083,293

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Solution

The third proportional to 1,461,669 and 3,083,293 is: 6,504,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,669 : 3,083,293 = 3,083,293 : x
  2. Step 2: Convert to fraction form
    1,461,669/3,083,293 = 3,083,293/x
  3. Step 3: Cross multiply
    1,461,669x = 3,083,293 × 3,083,293
  4. Step 4: Simplify right side
    1,461,669x = 9,506,695,723,849
  5. Step 5: Solve for x
    x = 9,506,695,723,849/1,461,669
  6. Step 6: Final answer
    x = 6,504,000.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.