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Finding the Third Proportional to 2,573,229 and 3,784,999.50

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Solution

The third proportional to 2,573,229 and 3,784,999.50 is: 5,567,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573,229 : 3,784,999.50 = 3,784,999.50 : x
  2. Step 2: Convert to fraction form
    2,573,229/3,784,999.50 = 3,784,999.50/x
  3. Step 3: Cross multiply
    2,573,229x = 3,784,999.50 × 3,784,999.50
  4. Step 4: Simplify right side
    2,573,229x = 14,326,221,215,000.25
  5. Step 5: Solve for x
    x = 14,326,221,215,000.25/2,573,229
  6. Step 6: Final answer
    x = 5,567,410.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.