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Finding the Third Proportional to 2,701,464 and 5,764,440

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Solution

The third proportional to 2,701,464 and 5,764,440 is: 12,300,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,464 : 5,764,440 = 5,764,440 : x
  2. Step 2: Convert to fraction form
    2,701,464/5,764,440 = 5,764,440/x
  3. Step 3: Cross multiply
    2,701,464x = 5,764,440 × 5,764,440
  4. Step 4: Simplify right side
    2,701,464x = 33,228,768,513,600
  5. Step 5: Solve for x
    x = 33,228,768,513,600/2,701,464
  6. Step 6: Final answer
    x = 12,300,281.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.