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Finding the Third Proportional to 1,346,953 and 2,018,455

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Solution

The third proportional to 1,346,953 and 2,018,455 is: 3,024,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,953 : 2,018,455 = 2,018,455 : x
  2. Step 2: Convert to fraction form
    1,346,953/2,018,455 = 2,018,455/x
  3. Step 3: Cross multiply
    1,346,953x = 2,018,455 × 2,018,455
  4. Step 4: Simplify right side
    1,346,953x = 4,074,160,587,025
  5. Step 5: Solve for x
    x = 4,074,160,587,025/1,346,953
  6. Step 6: Final answer
    x = 3,024,723.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.