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Finding the Third Proportional to 2,477,470 and 3,670,153

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Solution

The third proportional to 2,477,470 and 3,670,153 is: 5,437,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,470 : 3,670,153 = 3,670,153 : x
  2. Step 2: Convert to fraction form
    2,477,470/3,670,153 = 3,670,153/x
  3. Step 3: Cross multiply
    2,477,470x = 3,670,153 × 3,670,153
  4. Step 4: Simplify right side
    2,477,470x = 13,470,023,043,409
  5. Step 5: Solve for x
    x = 13,470,023,043,409/2,477,470
  6. Step 6: Final answer
    x = 5,437,007.53

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.