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Finding the Third Proportional to 497,580 and 1,060,208

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Solution

The third proportional to 497,580 and 1,060,208 is: 2,259,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,580 : 1,060,208 = 1,060,208 : x
  2. Step 2: Convert to fraction form
    497,580/1,060,208 = 1,060,208/x
  3. Step 3: Cross multiply
    497,580x = 1,060,208 × 1,060,208
  4. Step 4: Simplify right side
    497,580x = 1,124,041,003,264
  5. Step 5: Solve for x
    x = 1,124,041,003,264/497,580
  6. Step 6: Final answer
    x = 2,259,015.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.