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Finding the Third Proportional to 2,045,114 and 3,110,160

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Solution

The third proportional to 2,045,114 and 3,110,160 is: 4,729,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,114 : 3,110,160 = 3,110,160 : x
  2. Step 2: Convert to fraction form
    2,045,114/3,110,160 = 3,110,160/x
  3. Step 3: Cross multiply
    2,045,114x = 3,110,160 × 3,110,160
  4. Step 4: Simplify right side
    2,045,114x = 9,673,095,225,600
  5. Step 5: Solve for x
    x = 9,673,095,225,600/2,045,114
  6. Step 6: Final answer
    x = 4,729,856.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.