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Finding the Third Proportional to 1,575,301.50 and 2,362,466.25

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Solution

The third proportional to 1,575,301.50 and 2,362,466.25 is: 3,542,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,301.50 : 2,362,466.25 = 2,362,466.25 : x
  2. Step 2: Convert to fraction form
    1,575,301.50/2,362,466.25 = 2,362,466.25/x
  3. Step 3: Cross multiply
    1,575,301.50x = 2,362,466.25 × 2,362,466.25
  4. Step 4: Simplify right side
    1,575,301.50x = 5,581,246,782,389.06
  5. Step 5: Solve for x
    x = 5,581,246,782,389.06/1,575,301.50
  6. Step 6: Final answer
    x = 3,542,970.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.