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Finding the Third Proportional to 1,421,199 and 2,184,498

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Solution

The third proportional to 1,421,199 and 2,184,498 is: 3,357,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,199 : 2,184,498 = 2,184,498 : x
  2. Step 2: Convert to fraction form
    1,421,199/2,184,498 = 2,184,498/x
  3. Step 3: Cross multiply
    1,421,199x = 2,184,498 × 2,184,498
  4. Step 4: Simplify right side
    1,421,199x = 4,772,031,512,004
  5. Step 5: Solve for x
    x = 4,772,031,512,004/1,421,199
  6. Step 6: Final answer
    x = 3,357,750.40

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