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Finding the Third Proportional to 777,820 and 1,663,536

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Solution

The third proportional to 777,820 and 1,663,536 is: 3,557,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,820 : 1,663,536 = 1,663,536 : x
  2. Step 2: Convert to fraction form
    777,820/1,663,536 = 1,663,536/x
  3. Step 3: Cross multiply
    777,820x = 1,663,536 × 1,663,536
  4. Step 4: Simplify right side
    777,820x = 2,767,352,023,296
  5. Step 5: Solve for x
    x = 2,767,352,023,296/777,820
  6. Step 6: Final answer
    x = 3,557,830.89

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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.