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Finding the Third Proportional to 772,740 and 1,136,763

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Solution

The third proportional to 772,740 and 1,136,763 is: 1,672,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,740 : 1,136,763 = 1,136,763 : x
  2. Step 2: Convert to fraction form
    772,740/1,136,763 = 1,136,763/x
  3. Step 3: Cross multiply
    772,740x = 1,136,763 × 1,136,763
  4. Step 4: Simplify right side
    772,740x = 1,292,230,118,169
  5. Step 5: Solve for x
    x = 1,292,230,118,169/772,740
  6. Step 6: Final answer
    x = 1,672,270.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.