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Finding the Third Proportional to 1,025,457.47 and 2,235,432.94

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Solution

The third proportional to 1,025,457.47 and 2,235,432.94 is: 4,873,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,457.47 : 2,235,432.94 = 2,235,432.94 : x
  2. Step 2: Convert to fraction form
    1,025,457.47/2,235,432.94 = 2,235,432.94/x
  3. Step 3: Cross multiply
    1,025,457.47x = 2,235,432.94 × 2,235,432.94
  4. Step 4: Simplify right side
    1,025,457.47x = 4,997,160,418,059.88
  5. Step 5: Solve for x
    x = 4,997,160,418,059.88/1,025,457.47
  6. Step 6: Final answer
    x = 4,873,103.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.