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Finding the Third Proportional to 947,487 and 1,457,826

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Solution

The third proportional to 947,487 and 1,457,826 is: 2,243,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,487 : 1,457,826 = 1,457,826 : x
  2. Step 2: Convert to fraction form
    947,487/1,457,826 = 1,457,826/x
  3. Step 3: Cross multiply
    947,487x = 1,457,826 × 1,457,826
  4. Step 4: Simplify right side
    947,487x = 2,125,256,646,276
  5. Step 5: Solve for x
    x = 2,125,256,646,276/947,487
  6. Step 6: Final answer
    x = 2,243,045.71

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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.