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Finding the Third Proportional to 4,136,214 and 6,208,695

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Solution

The third proportional to 4,136,214 and 6,208,695 is: 9,319,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136,214 : 6,208,695 = 6,208,695 : x
  2. Step 2: Convert to fraction form
    4,136,214/6,208,695 = 6,208,695/x
  3. Step 3: Cross multiply
    4,136,214x = 6,208,695 × 6,208,695
  4. Step 4: Simplify right side
    4,136,214x = 38,547,893,603,025
  5. Step 5: Solve for x
    x = 38,547,893,603,025/4,136,214
  6. Step 6: Final answer
    x = 9,319,608.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.