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Finding the Third Proportional to 837,078 and 1,330,346

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Solution

The third proportional to 837,078 and 1,330,346 is: 2,114,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,078 : 1,330,346 = 1,330,346 : x
  2. Step 2: Convert to fraction form
    837,078/1,330,346 = 1,330,346/x
  3. Step 3: Cross multiply
    837,078x = 1,330,346 × 1,330,346
  4. Step 4: Simplify right side
    837,078x = 1,769,820,479,716
  5. Step 5: Solve for x
    x = 1,769,820,479,716/837,078
  6. Step 6: Final answer
    x = 2,114,283.83

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.