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Finding the Third Proportional to 772,914 and 1,648,536

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Solution

The third proportional to 772,914 and 1,648,536 is: 3,516,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,914 : 1,648,536 = 1,648,536 : x
  2. Step 2: Convert to fraction form
    772,914/1,648,536 = 1,648,536/x
  3. Step 3: Cross multiply
    772,914x = 1,648,536 × 1,648,536
  4. Step 4: Simplify right side
    772,914x = 2,717,670,943,296
  5. Step 5: Solve for x
    x = 2,717,670,943,296/772,914
  6. Step 6: Final answer
    x = 3,516,136.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.