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Finding the Third Proportional to 651,026 and 1,410,309

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Solution

The third proportional to 651,026 and 1,410,309 is: 3,055,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,026 : 1,410,309 = 1,410,309 : x
  2. Step 2: Convert to fraction form
    651,026/1,410,309 = 1,410,309/x
  3. Step 3: Cross multiply
    651,026x = 1,410,309 × 1,410,309
  4. Step 4: Simplify right side
    651,026x = 1,988,971,475,481
  5. Step 5: Solve for x
    x = 1,988,971,475,481/651,026
  6. Step 6: Final answer
    x = 3,055,133.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.