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Finding the Third Proportional to 1,674,098 and 3,616,468

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Solution

The third proportional to 1,674,098 and 3,616,468 is: 7,812,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,098 : 3,616,468 = 3,616,468 : x
  2. Step 2: Convert to fraction form
    1,674,098/3,616,468 = 3,616,468/x
  3. Step 3: Cross multiply
    1,674,098x = 3,616,468 × 3,616,468
  4. Step 4: Simplify right side
    1,674,098x = 13,078,840,795,024
  5. Step 5: Solve for x
    x = 13,078,840,795,024/1,674,098
  6. Step 6: Final answer
    x = 7,812,470.23

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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.