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Finding the Third Proportional to 1,714,225 and 3,686,435

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Solution

The third proportional to 1,714,225 and 3,686,435 is: 7,927,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,225 : 3,686,435 = 3,686,435 : x
  2. Step 2: Convert to fraction form
    1,714,225/3,686,435 = 3,686,435/x
  3. Step 3: Cross multiply
    1,714,225x = 3,686,435 × 3,686,435
  4. Step 4: Simplify right side
    1,714,225x = 13,589,803,009,225
  5. Step 5: Solve for x
    x = 13,589,803,009,225/1,714,225
  6. Step 6: Final answer
    x = 7,927,665.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.