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Finding the Third Proportional to 2,596,470 and 5,650,119

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Solution

The third proportional to 2,596,470 and 5,650,119 is: 12,295,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,470 : 5,650,119 = 5,650,119 : x
  2. Step 2: Convert to fraction form
    2,596,470/5,650,119 = 5,650,119/x
  3. Step 3: Cross multiply
    2,596,470x = 5,650,119 × 5,650,119
  4. Step 4: Simplify right side
    2,596,470x = 31,923,844,714,161
  5. Step 5: Solve for x
    x = 31,923,844,714,161/2,596,470
  6. Step 6: Final answer
    x = 12,295,094.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.