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Finding the Third Proportional to 2,492,214 and 3,870,513

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Solution

The third proportional to 2,492,214 and 3,870,513 is: 6,011,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492,214 : 3,870,513 = 3,870,513 : x
  2. Step 2: Convert to fraction form
    2,492,214/3,870,513 = 3,870,513/x
  3. Step 3: Cross multiply
    2,492,214x = 3,870,513 × 3,870,513
  4. Step 4: Simplify right side
    2,492,214x = 14,980,870,883,169
  5. Step 5: Solve for x
    x = 14,980,870,883,169/2,492,214
  6. Step 6: Final answer
    x = 6,011,069.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.