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Finding the Third Proportional to 2,894,343 and 4,254,796.50

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Solution

The third proportional to 2,894,343 and 4,254,796.50 is: 6,254,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,343 : 4,254,796.50 = 4,254,796.50 : x
  2. Step 2: Convert to fraction form
    2,894,343/4,254,796.50 = 4,254,796.50/x
  3. Step 3: Cross multiply
    2,894,343x = 4,254,796.50 × 4,254,796.50
  4. Step 4: Simplify right side
    2,894,343x = 18,103,293,256,412.25
  5. Step 5: Solve for x
    x = 18,103,293,256,412.25/2,894,343
  6. Step 6: Final answer
    x = 6,254,715.93

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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.