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Finding the Third Proportional to 663,414 and 1,430,508

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Solution

The third proportional to 663,414 and 1,430,508 is: 3,084,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,414 : 1,430,508 = 1,430,508 : x
  2. Step 2: Convert to fraction form
    663,414/1,430,508 = 1,430,508/x
  3. Step 3: Cross multiply
    663,414x = 1,430,508 × 1,430,508
  4. Step 4: Simplify right side
    663,414x = 2,046,353,138,064
  5. Step 5: Solve for x
    x = 2,046,353,138,064/663,414
  6. Step 6: Final answer
    x = 3,084,579.37

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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.