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Finding the Third Proportional to 1,584,482 and 3,421,460

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Solution

The third proportional to 1,584,482 and 3,421,460 is: 7,388,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,482 : 3,421,460 = 3,421,460 : x
  2. Step 2: Convert to fraction form
    1,584,482/3,421,460 = 3,421,460/x
  3. Step 3: Cross multiply
    1,584,482x = 3,421,460 × 3,421,460
  4. Step 4: Simplify right side
    1,584,482x = 11,706,388,531,600
  5. Step 5: Solve for x
    x = 11,706,388,531,600/1,584,482
  6. Step 6: Final answer
    x = 7,388,148.64

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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.