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Finding the Third Proportional to 772,932 and 1,226,574

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Solution

The third proportional to 772,932 and 1,226,574 is: 1,946,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,932 : 1,226,574 = 1,226,574 : x
  2. Step 2: Convert to fraction form
    772,932/1,226,574 = 1,226,574/x
  3. Step 3: Cross multiply
    772,932x = 1,226,574 × 1,226,574
  4. Step 4: Simplify right side
    772,932x = 1,504,483,777,476
  5. Step 5: Solve for x
    x = 1,504,483,777,476/772,932
  6. Step 6: Final answer
    x = 1,946,463.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.