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Finding the Third Proportional to 683,462 and 1,596,875

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Solution

The third proportional to 683,462 and 1,596,875 is: 3,731,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,462 : 1,596,875 = 1,596,875 : x
  2. Step 2: Convert to fraction form
    683,462/1,596,875 = 1,596,875/x
  3. Step 3: Cross multiply
    683,462x = 1,596,875 × 1,596,875
  4. Step 4: Simplify right side
    683,462x = 2,550,009,765,625
  5. Step 5: Solve for x
    x = 2,550,009,765,625/683,462
  6. Step 6: Final answer
    x = 3,731,019.08

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.