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Finding the Third Proportional to 1,569,412 and 2,424,102

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Solution

The third proportional to 1,569,412 and 2,424,102 is: 3,744,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,412 : 2,424,102 = 2,424,102 : x
  2. Step 2: Convert to fraction form
    1,569,412/2,424,102 = 2,424,102/x
  3. Step 3: Cross multiply
    1,569,412x = 2,424,102 × 2,424,102
  4. Step 4: Simplify right side
    1,569,412x = 5,876,270,506,404
  5. Step 5: Solve for x
    x = 5,876,270,506,404/1,569,412
  6. Step 6: Final answer
    x = 3,744,249.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.