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Finding the Third Proportional to 1,746,290 and 3,817,222

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Solution

The third proportional to 1,746,290 and 3,817,222 is: 8,344,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,290 : 3,817,222 = 3,817,222 : x
  2. Step 2: Convert to fraction form
    1,746,290/3,817,222 = 3,817,222/x
  3. Step 3: Cross multiply
    1,746,290x = 3,817,222 × 3,817,222
  4. Step 4: Simplify right side
    1,746,290x = 14,571,183,797,284
  5. Step 5: Solve for x
    x = 14,571,183,797,284/1,746,290
  6. Step 6: Final answer
    x = 8,344,080.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.