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Finding the Third Proportional to 1,724,140 and 3,746,717

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Solution

The third proportional to 1,724,140 and 3,746,717 is: 8,141,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,140 : 3,746,717 = 3,746,717 : x
  2. Step 2: Convert to fraction form
    1,724,140/3,746,717 = 3,746,717/x
  3. Step 3: Cross multiply
    1,724,140x = 3,746,717 × 3,746,717
  4. Step 4: Simplify right side
    1,724,140x = 14,037,888,278,089
  5. Step 5: Solve for x
    x = 14,037,888,278,089/1,724,140
  6. Step 6: Final answer
    x = 8,141,965.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.