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Finding the Third Proportional to 1,584,411 and 3,421,386

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Solution

The third proportional to 1,584,411 and 3,421,386 is: 7,388,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,411 : 3,421,386 = 3,421,386 : x
  2. Step 2: Convert to fraction form
    1,584,411/3,421,386 = 3,421,386/x
  3. Step 3: Cross multiply
    1,584,411x = 3,421,386 × 3,421,386
  4. Step 4: Simplify right side
    1,584,411x = 11,705,882,160,996
  5. Step 5: Solve for x
    x = 11,705,882,160,996/1,584,411
  6. Step 6: Final answer
    x = 7,388,160.12

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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.