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Finding the Third Proportional to 774,172 and 1,216,554

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Solution

The third proportional to 774,172 and 1,216,554 is: 1,911,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,172 : 1,216,554 = 1,216,554 : x
  2. Step 2: Convert to fraction form
    774,172/1,216,554 = 1,216,554/x
  3. Step 3: Cross multiply
    774,172x = 1,216,554 × 1,216,554
  4. Step 4: Simplify right side
    774,172x = 1,480,003,634,916
  5. Step 5: Solve for x
    x = 1,480,003,634,916/774,172
  6. Step 6: Final answer
    x = 1,911,724.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.