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Finding the Third Proportional to 2,046,092 and 3,209,862

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Solution

The third proportional to 2,046,092 and 3,209,862 is: 5,035,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,092 : 3,209,862 = 3,209,862 : x
  2. Step 2: Convert to fraction form
    2,046,092/3,209,862 = 3,209,862/x
  3. Step 3: Cross multiply
    2,046,092x = 3,209,862 × 3,209,862
  4. Step 4: Simplify right side
    2,046,092x = 10,303,214,059,044
  5. Step 5: Solve for x
    x = 10,303,214,059,044/2,046,092
  6. Step 6: Final answer
    x = 5,035,557.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.