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Finding the Third Proportional to 622,435.50 and 1,357,947

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Solution

The third proportional to 622,435.50 and 1,357,947 is: 2,962,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,435.50 : 1,357,947 = 1,357,947 : x
  2. Step 2: Convert to fraction form
    622,435.50/1,357,947 = 1,357,947/x
  3. Step 3: Cross multiply
    622,435.50x = 1,357,947 × 1,357,947
  4. Step 4: Simplify right side
    622,435.50x = 1,844,020,054,809
  5. Step 5: Solve for x
    x = 1,844,020,054,809/622,435.50
  6. Step 6: Final answer
    x = 2,962,588.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.