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Finding the Third Proportional to 3,971,646 and 6,137,046

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Solution

The third proportional to 3,971,646 and 6,137,046 is: 9,483,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971,646 : 6,137,046 = 6,137,046 : x
  2. Step 2: Convert to fraction form
    3,971,646/6,137,046 = 6,137,046/x
  3. Step 3: Cross multiply
    3,971,646x = 6,137,046 × 6,137,046
  4. Step 4: Simplify right side
    3,971,646x = 37,663,333,606,116
  5. Step 5: Solve for x
    x = 37,663,333,606,116/3,971,646
  6. Step 6: Final answer
    x = 9,483,054.03

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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.