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Finding the Third Proportional to 1,421,127 and 3,157,182

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Solution

The third proportional to 1,421,127 and 3,157,182 is: 7,014,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,127 : 3,157,182 = 3,157,182 : x
  2. Step 2: Convert to fraction form
    1,421,127/3,157,182 = 3,157,182/x
  3. Step 3: Cross multiply
    1,421,127x = 3,157,182 × 3,157,182
  4. Step 4: Simplify right side
    1,421,127x = 9,967,798,181,124
  5. Step 5: Solve for x
    x = 9,967,798,181,124/1,421,127
  6. Step 6: Final answer
    x = 7,014,009.43

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.