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Finding the Third Proportional to 2,946,740 and 6,346,904

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Solution

The third proportional to 2,946,740 and 6,346,904 is: 13,670,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,740 : 6,346,904 = 6,346,904 : x
  2. Step 2: Convert to fraction form
    2,946,740/6,346,904 = 6,346,904/x
  3. Step 3: Cross multiply
    2,946,740x = 6,346,904 × 6,346,904
  4. Step 4: Simplify right side
    2,946,740x = 40,283,190,385,216
  5. Step 5: Solve for x
    x = 40,283,190,385,216/2,946,740
  6. Step 6: Final answer
    x = 13,670,425.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.