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Finding the Third Proportional to 657,351 and 1,027,544.63

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Solution

The third proportional to 657,351 and 1,027,544.63 is: 1,606,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,351 : 1,027,544.63 = 1,027,544.63 : x
  2. Step 2: Convert to fraction form
    657,351/1,027,544.63 = 1,027,544.63/x
  3. Step 3: Cross multiply
    657,351x = 1,027,544.63 × 1,027,544.63
  4. Step 4: Simplify right side
    657,351x = 1,055,847,956,366.39
  5. Step 5: Solve for x
    x = 1,055,847,956,366.39/657,351
  6. Step 6: Final answer
    x = 1,606,216.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.