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Finding the Third Proportional to 1,584,432 and 3,421,392

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Solution

The third proportional to 1,584,432 and 3,421,392 is: 7,388,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,432 : 3,421,392 = 3,421,392 : x
  2. Step 2: Convert to fraction form
    1,584,432/3,421,392 = 3,421,392/x
  3. Step 3: Cross multiply
    1,584,432x = 3,421,392 × 3,421,392
  4. Step 4: Simplify right side
    1,584,432x = 11,705,923,217,664
  5. Step 5: Solve for x
    x = 11,705,923,217,664/1,584,432
  6. Step 6: Final answer
    x = 7,388,088.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.