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Finding the Third Proportional to 686,490.19 and 1,476,297.14

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Solution

The third proportional to 686,490.19 and 1,476,297.14 is: 3,174,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,490.19 : 1,476,297.14 = 1,476,297.14 : x
  2. Step 2: Convert to fraction form
    686,490.19/1,476,297.14 = 1,476,297.14/x
  3. Step 3: Cross multiply
    686,490.19x = 1,476,297.14 × 1,476,297.14
  4. Step 4: Simplify right side
    686,490.19x = 2,179,453,247,417.55
  5. Step 5: Solve for x
    x = 2,179,453,247,417.55/686,490.19
  6. Step 6: Final answer
    x = 3,174,776.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.