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Finding the Third Proportional to 648,388 and 1,041,777

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Solution

The third proportional to 648,388 and 1,041,777 is: 1,673,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,388 : 1,041,777 = 1,041,777 : x
  2. Step 2: Convert to fraction form
    648,388/1,041,777 = 1,041,777/x
  3. Step 3: Cross multiply
    648,388x = 1,041,777 × 1,041,777
  4. Step 4: Simplify right side
    648,388x = 1,085,299,317,729
  5. Step 5: Solve for x
    x = 1,085,299,317,729/648,388
  6. Step 6: Final answer
    x = 1,673,842.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.