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Finding the Third Proportional to 500,578 and 1,036,642

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Solution

The third proportional to 500,578 and 1,036,642 is: 2,146,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,578 : 1,036,642 = 1,036,642 : x
  2. Step 2: Convert to fraction form
    500,578/1,036,642 = 1,036,642/x
  3. Step 3: Cross multiply
    500,578x = 1,036,642 × 1,036,642
  4. Step 4: Simplify right side
    500,578x = 1,074,626,636,164
  5. Step 5: Solve for x
    x = 1,074,626,636,164/500,578
  6. Step 6: Final answer
    x = 2,146,771.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.