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Finding the Third Proportional to 1,147,456 and 2,497,574

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Solution

The third proportional to 1,147,456 and 2,497,574 is: 5,436,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,456 : 2,497,574 = 2,497,574 : x
  2. Step 2: Convert to fraction form
    1,147,456/2,497,574 = 2,497,574/x
  3. Step 3: Cross multiply
    1,147,456x = 2,497,574 × 2,497,574
  4. Step 4: Simplify right side
    1,147,456x = 6,237,875,885,476
  5. Step 5: Solve for x
    x = 6,237,875,885,476/1,147,456
  6. Step 6: Final answer
    x = 5,436,265.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.