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Finding the Third Proportional to 1,263,323.50 and 1,943,779.25

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Solution

The third proportional to 1,263,323.50 and 1,943,779.25 is: 2,990,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,323.50 : 1,943,779.25 = 1,943,779.25 : x
  2. Step 2: Convert to fraction form
    1,263,323.50/1,943,779.25 = 1,943,779.25/x
  3. Step 3: Cross multiply
    1,263,323.50x = 1,943,779.25 × 1,943,779.25
  4. Step 4: Simplify right side
    1,263,323.50x = 3,778,277,772,730.56
  5. Step 5: Solve for x
    x = 3,778,277,772,730.56/1,263,323.50
  6. Step 6: Final answer
    x = 2,990,744.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.