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Finding the Third Proportional to 607,259.85 and 1,298,588.20

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Solution

The third proportional to 607,259.85 and 1,298,588.20 is: 2,776,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,259.85 : 1,298,588.20 = 1,298,588.20 : x
  2. Step 2: Convert to fraction form
    607,259.85/1,298,588.20 = 1,298,588.20/x
  3. Step 3: Cross multiply
    607,259.85x = 1,298,588.20 × 1,298,588.20
  4. Step 4: Simplify right side
    607,259.85x = 1,686,331,321,295.42
  5. Step 5: Solve for x
    x = 1,686,331,321,295.42/607,259.85
  6. Step 6: Final answer
    x = 2,776,951.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.