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Finding the Third Proportional to 4,191,076 and 6,406,888

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Solution

The third proportional to 4,191,076 and 6,406,888 is: 9,794,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191,076 : 6,406,888 = 6,406,888 : x
  2. Step 2: Convert to fraction form
    4,191,076/6,406,888 = 6,406,888/x
  3. Step 3: Cross multiply
    4,191,076x = 6,406,888 × 6,406,888
  4. Step 4: Simplify right side
    4,191,076x = 41,048,213,844,544
  5. Step 5: Solve for x
    x = 41,048,213,844,544/4,191,076
  6. Step 6: Final answer
    x = 9,794,194.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.