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Finding the Third Proportional to 424,914.75 and 912,980.25

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Solution

The third proportional to 424,914.75 and 912,980.25 is: 1,961,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,914.75 : 912,980.25 = 912,980.25 : x
  2. Step 2: Convert to fraction form
    424,914.75/912,980.25 = 912,980.25/x
  3. Step 3: Cross multiply
    424,914.75x = 912,980.25 × 912,980.25
  4. Step 4: Simplify right side
    424,914.75x = 833,532,936,890.06
  5. Step 5: Solve for x
    x = 833,532,936,890.06/424,914.75
  6. Step 6: Final answer
    x = 1,961,647.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.