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Finding the Third Proportional to 653,830 and 1,410,875

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Solution

The third proportional to 653,830 and 1,410,875 is: 3,044,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,830 : 1,410,875 = 1,410,875 : x
  2. Step 2: Convert to fraction form
    653,830/1,410,875 = 1,410,875/x
  3. Step 3: Cross multiply
    653,830x = 1,410,875 × 1,410,875
  4. Step 4: Simplify right side
    653,830x = 1,990,568,265,625
  5. Step 5: Solve for x
    x = 1,990,568,265,625/653,830
  6. Step 6: Final answer
    x = 3,044,473.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.