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Finding the Third Proportional to 1,832,659 and 3,791,030

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Solution

The third proportional to 1,832,659 and 3,791,030 is: 7,842,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,659 : 3,791,030 = 3,791,030 : x
  2. Step 2: Convert to fraction form
    1,832,659/3,791,030 = 3,791,030/x
  3. Step 3: Cross multiply
    1,832,659x = 3,791,030 × 3,791,030
  4. Step 4: Simplify right side
    1,832,659x = 14,371,908,460,900
  5. Step 5: Solve for x
    x = 14,371,908,460,900/1,832,659
  6. Step 6: Final answer
    x = 7,842,107.27

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Why These Related Problems?

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