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Finding the Third Proportional to 4,191,051 and 6,406,863

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Solution

The third proportional to 4,191,051 and 6,406,863 is: 9,794,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191,051 : 6,406,863 = 6,406,863 : x
  2. Step 2: Convert to fraction form
    4,191,051/6,406,863 = 6,406,863/x
  3. Step 3: Cross multiply
    4,191,051x = 6,406,863 × 6,406,863
  4. Step 4: Simplify right side
    4,191,051x = 41,047,893,500,769
  5. Step 5: Solve for x
    x = 41,047,893,500,769/4,191,051
  6. Step 6: Final answer
    x = 9,794,176.57

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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.