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Finding the Third Proportional to 1,746,068 and 3,859,224

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Solution

The third proportional to 1,746,068 and 3,859,224 is: 8,529,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,068 : 3,859,224 = 3,859,224 : x
  2. Step 2: Convert to fraction form
    1,746,068/3,859,224 = 3,859,224/x
  3. Step 3: Cross multiply
    1,746,068x = 3,859,224 × 3,859,224
  4. Step 4: Simplify right side
    1,746,068x = 14,893,609,882,176
  5. Step 5: Solve for x
    x = 14,893,609,882,176/1,746,068
  6. Step 6: Final answer
    x = 8,529,799.46

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.