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Finding the Third Proportional to 497,470 and 1,088,252

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Solution

The third proportional to 497,470 and 1,088,252 is: 2,380,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,470 : 1,088,252 = 1,088,252 : x
  2. Step 2: Convert to fraction form
    497,470/1,088,252 = 1,088,252/x
  3. Step 3: Cross multiply
    497,470x = 1,088,252 × 1,088,252
  4. Step 4: Simplify right side
    497,470x = 1,184,292,415,504
  5. Step 5: Solve for x
    x = 1,184,292,415,504/497,470
  6. Step 6: Final answer
    x = 2,380,630.82

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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.