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Finding the Third Proportional to 947,500 and 1,457,844

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Solution

The third proportional to 947,500 and 1,457,844 is: 2,243,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,500 : 1,457,844 = 1,457,844 : x
  2. Step 2: Convert to fraction form
    947,500/1,457,844 = 1,457,844/x
  3. Step 3: Cross multiply
    947,500x = 1,457,844 × 1,457,844
  4. Step 4: Simplify right side
    947,500x = 2,125,309,128,336
  5. Step 5: Solve for x
    x = 2,125,309,128,336/947,500
  6. Step 6: Final answer
    x = 2,243,070.32

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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.