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Finding the Third Proportional to 772,598 and 1,135,773

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Solution

The third proportional to 772,598 and 1,135,773 is: 1,669,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,598 : 1,135,773 = 1,135,773 : x
  2. Step 2: Convert to fraction form
    772,598/1,135,773 = 1,135,773/x
  3. Step 3: Cross multiply
    772,598x = 1,135,773 × 1,135,773
  4. Step 4: Simplify right side
    772,598x = 1,289,980,307,529
  5. Step 5: Solve for x
    x = 1,289,980,307,529/772,598
  6. Step 6: Final answer
    x = 1,669,665.61

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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.