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Finding the Third Proportional to 1,724,220 and 3,746,889

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Solution

The third proportional to 1,724,220 and 3,746,889 is: 8,142,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,220 : 3,746,889 = 3,746,889 : x
  2. Step 2: Convert to fraction form
    1,724,220/3,746,889 = 3,746,889/x
  3. Step 3: Cross multiply
    1,724,220x = 3,746,889 × 3,746,889
  4. Step 4: Simplify right side
    1,724,220x = 14,039,177,178,321
  5. Step 5: Solve for x
    x = 14,039,177,178,321/1,724,220
  6. Step 6: Final answer
    x = 8,142,335.19

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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.