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Finding the Third Proportional to 450,423 and 978,723

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Solution

The third proportional to 450,423 and 978,723 is: 2,126,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,423 : 978,723 = 978,723 : x
  2. Step 2: Convert to fraction form
    450,423/978,723 = 978,723/x
  3. Step 3: Cross multiply
    450,423x = 978,723 × 978,723
  4. Step 4: Simplify right side
    450,423x = 957,898,710,729
  5. Step 5: Solve for x
    x = 957,898,710,729/450,423
  6. Step 6: Final answer
    x = 2,126,664.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.