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Finding the Third Proportional to 2,065,378 and 3,157,224

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Solution

The third proportional to 2,065,378 and 3,157,224 is: 4,826,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,378 : 3,157,224 = 3,157,224 : x
  2. Step 2: Convert to fraction form
    2,065,378/3,157,224 = 3,157,224/x
  3. Step 3: Cross multiply
    2,065,378x = 3,157,224 × 3,157,224
  4. Step 4: Simplify right side
    2,065,378x = 9,968,063,386,176
  5. Step 5: Solve for x
    x = 9,968,063,386,176/2,065,378
  6. Step 6: Final answer
    x = 4,826,265.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.