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Finding the Third Proportional to 2,457,322 and 3,846,403

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Solution

The third proportional to 2,457,322 and 3,846,403 is: 6,020,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,322 : 3,846,403 = 3,846,403 : x
  2. Step 2: Convert to fraction form
    2,457,322/3,846,403 = 3,846,403/x
  3. Step 3: Cross multiply
    2,457,322x = 3,846,403 × 3,846,403
  4. Step 4: Simplify right side
    2,457,322x = 14,794,816,038,409
  5. Step 5: Solve for x
    x = 14,794,816,038,409/2,457,322
  6. Step 6: Final answer
    x = 6,020,707.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.