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Finding the Third Proportional to 1,421,127 and 2,184,399

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Solution

The third proportional to 1,421,127 and 2,184,399 is: 3,357,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,127 : 2,184,399 = 2,184,399 : x
  2. Step 2: Convert to fraction form
    1,421,127/2,184,399 = 2,184,399/x
  3. Step 3: Cross multiply
    1,421,127x = 2,184,399 × 2,184,399
  4. Step 4: Simplify right side
    1,421,127x = 4,771,598,991,201
  5. Step 5: Solve for x
    x = 4,771,598,991,201/1,421,127
  6. Step 6: Final answer
    x = 3,357,616.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.