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Finding the Third Proportional to 649,542 and 1,020,361.50

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Solution

The third proportional to 649,542 and 1,020,361.50 is: 1,602,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,542 : 1,020,361.50 = 1,020,361.50 : x
  2. Step 2: Convert to fraction form
    649,542/1,020,361.50 = 1,020,361.50/x
  3. Step 3: Cross multiply
    649,542x = 1,020,361.50 × 1,020,361.50
  4. Step 4: Simplify right side
    649,542x = 1,041,137,590,682.25
  5. Step 5: Solve for x
    x = 1,041,137,590,682.25/649,542
  6. Step 6: Final answer
    x = 1,602,879.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.