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Finding the Third Proportional to 506,339.02 and 1,099,609.17

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Solution

The third proportional to 506,339.02 and 1,099,609.17 is: 2,388,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,339.02 : 1,099,609.17 = 1,099,609.17 : x
  2. Step 2: Convert to fraction form
    506,339.02/1,099,609.17 = 1,099,609.17/x
  3. Step 3: Cross multiply
    506,339.02x = 1,099,609.17 × 1,099,609.17
  4. Step 4: Simplify right side
    506,339.02x = 1,209,140,330,871.62
  5. Step 5: Solve for x
    x = 1,209,140,330,871.62/506,339.02
  6. Step 6: Final answer
    x = 2,388,005.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.