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Finding the Third Proportional to 2,645,748 and 5,795,968

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Solution

The third proportional to 2,645,748 and 5,795,968 is: 12,697,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645,748 : 5,795,968 = 5,795,968 : x
  2. Step 2: Convert to fraction form
    2,645,748/5,795,968 = 5,795,968/x
  3. Step 3: Cross multiply
    2,645,748x = 5,795,968 × 5,795,968
  4. Step 4: Simplify right side
    2,645,748x = 33,593,245,057,024
  5. Step 5: Solve for x
    x = 33,593,245,057,024/2,645,748
  6. Step 6: Final answer
    x = 12,697,069.05

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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.