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Finding the Third Proportional to 777,834 and 1,663,564

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Solution

The third proportional to 777,834 and 1,663,564 is: 3,557,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,834 : 1,663,564 = 1,663,564 : x
  2. Step 2: Convert to fraction form
    777,834/1,663,564 = 1,663,564/x
  3. Step 3: Cross multiply
    777,834x = 1,663,564 × 1,663,564
  4. Step 4: Simplify right side
    777,834x = 2,767,445,182,096
  5. Step 5: Solve for x
    x = 2,767,445,182,096/777,834
  6. Step 6: Final answer
    x = 3,557,886.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.