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Finding the Third Proportional to 1,535,762.50 and 2,273,424

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Solution

The third proportional to 1,535,762.50 and 2,273,424 is: 3,365,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,762.50 : 2,273,424 = 2,273,424 : x
  2. Step 2: Convert to fraction form
    1,535,762.50/2,273,424 = 2,273,424/x
  3. Step 3: Cross multiply
    1,535,762.50x = 2,273,424 × 2,273,424
  4. Step 4: Simplify right side
    1,535,762.50x = 5,168,456,683,776
  5. Step 5: Solve for x
    x = 5,168,456,683,776/1,535,762.50
  6. Step 6: Final answer
    x = 3,365,401.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.