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Finding the Third Proportional to 1,705,910 and 3,648,014

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Solution

The third proportional to 1,705,910 and 3,648,014 is: 7,801,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,910 : 3,648,014 = 3,648,014 : x
  2. Step 2: Convert to fraction form
    1,705,910/3,648,014 = 3,648,014/x
  3. Step 3: Cross multiply
    1,705,910x = 3,648,014 × 3,648,014
  4. Step 4: Simplify right side
    1,705,910x = 13,308,006,144,196
  5. Step 5: Solve for x
    x = 13,308,006,144,196/1,705,910
  6. Step 6: Final answer
    x = 7,801,118.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.