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Finding the Third Proportional to 1,430,334 and 3,031,254

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Solution

The third proportional to 1,430,334 and 3,031,254 is: 6,424,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,334 : 3,031,254 = 3,031,254 : x
  2. Step 2: Convert to fraction form
    1,430,334/3,031,254 = 3,031,254/x
  3. Step 3: Cross multiply
    1,430,334x = 3,031,254 × 3,031,254
  4. Step 4: Simplify right side
    1,430,334x = 9,188,500,812,516
  5. Step 5: Solve for x
    x = 9,188,500,812,516/1,430,334
  6. Step 6: Final answer
    x = 6,424,024.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.