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Finding the Third Proportional to 500,032 and 1,018,632

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Solution

The third proportional to 500,032 and 1,018,632 is: 2,075,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,032 : 1,018,632 = 1,018,632 : x
  2. Step 2: Convert to fraction form
    500,032/1,018,632 = 1,018,632/x
  3. Step 3: Cross multiply
    500,032x = 1,018,632 × 1,018,632
  4. Step 4: Simplify right side
    500,032x = 1,037,611,151,424
  5. Step 5: Solve for x
    x = 1,037,611,151,424/500,032
  6. Step 6: Final answer
    x = 2,075,089.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.