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Finding the Third Proportional to 1,214,663 and 2,658,142

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Solution

The third proportional to 1,214,663 and 2,658,142 is: 5,817,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,663 : 2,658,142 = 2,658,142 : x
  2. Step 2: Convert to fraction form
    1,214,663/2,658,142 = 2,658,142/x
  3. Step 3: Cross multiply
    1,214,663x = 2,658,142 × 2,658,142
  4. Step 4: Simplify right side
    1,214,663x = 7,065,718,892,164
  5. Step 5: Solve for x
    x = 7,065,718,892,164/1,214,663
  6. Step 6: Final answer
    x = 5,817,019.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.