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Finding the Third Proportional to 947,493 and 1,457,835

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Solution

The third proportional to 947,493 and 1,457,835 is: 2,243,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,493 : 1,457,835 = 1,457,835 : x
  2. Step 2: Convert to fraction form
    947,493/1,457,835 = 1,457,835/x
  3. Step 3: Cross multiply
    947,493x = 1,457,835 × 1,457,835
  4. Step 4: Simplify right side
    947,493x = 2,125,282,887,225
  5. Step 5: Solve for x
    x = 2,125,282,887,225/947,493
  6. Step 6: Final answer
    x = 2,243,059.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.