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Finding the Third Proportional to 1,817,584 and 3,823,196

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Solution

The third proportional to 1,817,584 and 3,823,196 is: 8,041,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,584 : 3,823,196 = 3,823,196 : x
  2. Step 2: Convert to fraction form
    1,817,584/3,823,196 = 3,823,196/x
  3. Step 3: Cross multiply
    1,817,584x = 3,823,196 × 3,823,196
  4. Step 4: Simplify right side
    1,817,584x = 14,616,827,654,416
  5. Step 5: Solve for x
    x = 14,616,827,654,416/1,817,584
  6. Step 6: Final answer
    x = 8,041,899.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.