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Finding the Third Proportional to 779,529 and 1,708,017

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Solution

The third proportional to 779,529 and 1,708,017 is: 3,742,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,529 : 1,708,017 = 1,708,017 : x
  2. Step 2: Convert to fraction form
    779,529/1,708,017 = 1,708,017/x
  3. Step 3: Cross multiply
    779,529x = 1,708,017 × 1,708,017
  4. Step 4: Simplify right side
    779,529x = 2,917,322,072,289
  5. Step 5: Solve for x
    x = 2,917,322,072,289/779,529
  6. Step 6: Final answer
    x = 3,742,416.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.