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Finding the Third Proportional to 840,639 and 1,741,095

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Solution

The third proportional to 840,639 and 1,741,095 is: 3,606,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,639 : 1,741,095 = 1,741,095 : x
  2. Step 2: Convert to fraction form
    840,639/1,741,095 = 1,741,095/x
  3. Step 3: Cross multiply
    840,639x = 1,741,095 × 1,741,095
  4. Step 4: Simplify right side
    840,639x = 3,031,411,799,025
  5. Step 5: Solve for x
    x = 3,031,411,799,025/840,639
  6. Step 6: Final answer
    x = 3,606,080.37

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.