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Finding the Third Proportional to 4,191,053 and 6,406,866

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Solution

The third proportional to 4,191,053 and 6,406,866 is: 9,794,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191,053 : 6,406,866 = 6,406,866 : x
  2. Step 2: Convert to fraction form
    4,191,053/6,406,866 = 6,406,866/x
  3. Step 3: Cross multiply
    4,191,053x = 6,406,866 × 6,406,866
  4. Step 4: Simplify right side
    4,191,053x = 41,047,931,941,956
  5. Step 5: Solve for x
    x = 41,047,931,941,956/4,191,053
  6. Step 6: Final answer
    x = 9,794,181.07

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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.