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Finding the Third Proportional to 1,584,436 and 3,421,376

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Solution

The third proportional to 1,584,436 and 3,421,376 is: 7,388,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,436 : 3,421,376 = 3,421,376 : x
  2. Step 2: Convert to fraction form
    1,584,436/3,421,376 = 3,421,376/x
  3. Step 3: Cross multiply
    1,584,436x = 3,421,376 × 3,421,376
  4. Step 4: Simplify right side
    1,584,436x = 11,705,813,733,376
  5. Step 5: Solve for x
    x = 11,705,813,733,376/1,584,436
  6. Step 6: Final answer
    x = 7,388,000.36

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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.