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Finding the Third Proportional to 1,456,389 and 3,168,414

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Solution

The third proportional to 1,456,389 and 3,168,414 is: 6,892,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,389 : 3,168,414 = 3,168,414 : x
  2. Step 2: Convert to fraction form
    1,456,389/3,168,414 = 3,168,414/x
  3. Step 3: Cross multiply
    1,456,389x = 3,168,414 × 3,168,414
  4. Step 4: Simplify right side
    1,456,389x = 10,038,847,275,396
  5. Step 5: Solve for x
    x = 10,038,847,275,396/1,456,389
  6. Step 6: Final answer
    x = 6,892,971.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.