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Finding the Third Proportional to 472,908 and 1,037,712

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Solution

The third proportional to 472,908 and 1,037,712 is: 2,277,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,908 : 1,037,712 = 1,037,712 : x
  2. Step 2: Convert to fraction form
    472,908/1,037,712 = 1,037,712/x
  3. Step 3: Cross multiply
    472,908x = 1,037,712 × 1,037,712
  4. Step 4: Simplify right side
    472,908x = 1,076,846,194,944
  5. Step 5: Solve for x
    x = 1,076,846,194,944/472,908
  6. Step 6: Final answer
    x = 2,277,073.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.