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Finding the Third Proportional to 2,477,706 and 3,750,843

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Solution

The third proportional to 2,477,706 and 3,750,843 is: 5,678,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,706 : 3,750,843 = 3,750,843 : x
  2. Step 2: Convert to fraction form
    2,477,706/3,750,843 = 3,750,843/x
  3. Step 3: Cross multiply
    2,477,706x = 3,750,843 × 3,750,843
  4. Step 4: Simplify right side
    2,477,706x = 14,068,823,210,649
  5. Step 5: Solve for x
    x = 14,068,823,210,649/2,477,706
  6. Step 6: Final answer
    x = 5,678,164.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.