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Finding the Third Proportional to 706,006 and 1,546,784.50

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Solution

The third proportional to 706,006 and 1,546,784.50 is: 3,388,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,006 : 1,546,784.50 = 1,546,784.50 : x
  2. Step 2: Convert to fraction form
    706,006/1,546,784.50 = 1,546,784.50/x
  3. Step 3: Cross multiply
    706,006x = 1,546,784.50 × 1,546,784.50
  4. Step 4: Simplify right side
    706,006x = 2,392,542,289,440.25
  5. Step 5: Solve for x
    x = 2,392,542,289,440.25/706,006
  6. Step 6: Final answer
    x = 3,388,841.30

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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.