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Finding the Third Proportional to 3,918,080.25 and 6,054,428.63

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Solution

The third proportional to 3,918,080.25 and 6,054,428.63 is: 9,355,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918,080.25 : 6,054,428.63 = 6,054,428.63 : x
  2. Step 2: Convert to fraction form
    3,918,080.25/6,054,428.63 = 6,054,428.63/x
  3. Step 3: Cross multiply
    3,918,080.25x = 6,054,428.63 × 6,054,428.63
  4. Step 4: Simplify right side
    3,918,080.25x = 36,656,105,975,219.39
  5. Step 5: Solve for x
    x = 36,656,105,975,219.39/3,918,080.25
  6. Step 6: Final answer
    x = 9,355,629.19

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Why These Related Problems?

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