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Finding the Third Proportional to 1,810,849 and 3,837,594

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Solution

The third proportional to 1,810,849 and 3,837,594 is: 8,132,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810,849 : 3,837,594 = 3,837,594 : x
  2. Step 2: Convert to fraction form
    1,810,849/3,837,594 = 3,837,594/x
  3. Step 3: Cross multiply
    1,810,849x = 3,837,594 × 3,837,594
  4. Step 4: Simplify right side
    1,810,849x = 14,727,127,708,836
  5. Step 5: Solve for x
    x = 14,727,127,708,836/1,810,849
  6. Step 6: Final answer
    x = 8,132,719.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.