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Finding the Third Proportional to 1,657,199 and 2,559,062

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Solution

The third proportional to 1,657,199 and 2,559,062 is: 3,951,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,199 : 2,559,062 = 2,559,062 : x
  2. Step 2: Convert to fraction form
    1,657,199/2,559,062 = 2,559,062/x
  3. Step 3: Cross multiply
    1,657,199x = 2,559,062 × 2,559,062
  4. Step 4: Simplify right side
    1,657,199x = 6,548,798,319,844
  5. Step 5: Solve for x
    x = 6,548,798,319,844/1,657,199
  6. Step 6: Final answer
    x = 3,951,727.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.