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Finding the Third Proportional to 779,936 and 1,700,896

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Solution

The third proportional to 779,936 and 1,700,896 is: 3,709,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,936 : 1,700,896 = 1,700,896 : x
  2. Step 2: Convert to fraction form
    779,936/1,700,896 = 1,700,896/x
  3. Step 3: Cross multiply
    779,936x = 1,700,896 × 1,700,896
  4. Step 4: Simplify right side
    779,936x = 2,893,047,202,816
  5. Step 5: Solve for x
    x = 2,893,047,202,816/779,936
  6. Step 6: Final answer
    x = 3,709,339.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.