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Finding the Third Proportional to 1,424,031 and 2,900,940

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Solution

The third proportional to 1,424,031 and 2,900,940 is: 5,909,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,031 : 2,900,940 = 2,900,940 : x
  2. Step 2: Convert to fraction form
    1,424,031/2,900,940 = 2,900,940/x
  3. Step 3: Cross multiply
    1,424,031x = 2,900,940 × 2,900,940
  4. Step 4: Simplify right side
    1,424,031x = 8,415,452,883,600
  5. Step 5: Solve for x
    x = 8,415,452,883,600/1,424,031
  6. Step 6: Final answer
    x = 5,909,599.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.