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Finding the Third Proportional to 2,362,698 and 3,565,674

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Solution

The third proportional to 2,362,698 and 3,565,674 is: 5,381,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362,698 : 3,565,674 = 3,565,674 : x
  2. Step 2: Convert to fraction form
    2,362,698/3,565,674 = 3,565,674/x
  3. Step 3: Cross multiply
    2,362,698x = 3,565,674 × 3,565,674
  4. Step 4: Simplify right side
    2,362,698x = 12,714,031,074,276
  5. Step 5: Solve for x
    x = 12,714,031,074,276/2,362,698
  6. Step 6: Final answer
    x = 5,381,149.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.