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Finding the Third Proportional to 500,586 and 1,018,560

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Solution

The third proportional to 500,586 and 1,018,560 is: 2,072,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,586 : 1,018,560 = 1,018,560 : x
  2. Step 2: Convert to fraction form
    500,586/1,018,560 = 1,018,560/x
  3. Step 3: Cross multiply
    500,586x = 1,018,560 × 1,018,560
  4. Step 4: Simplify right side
    500,586x = 1,037,464,473,600
  5. Step 5: Solve for x
    x = 1,037,464,473,600/500,586
  6. Step 6: Final answer
    x = 2,072,499.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.