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Finding the Third Proportional to 473,053.50 and 1,051,083

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Solution

The third proportional to 473,053.50 and 1,051,083 is: 2,335,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,053.50 : 1,051,083 = 1,051,083 : x
  2. Step 2: Convert to fraction form
    473,053.50/1,051,083 = 1,051,083/x
  3. Step 3: Cross multiply
    473,053.50x = 1,051,083 × 1,051,083
  4. Step 4: Simplify right side
    473,053.50x = 1,104,775,472,889
  5. Step 5: Solve for x
    x = 1,104,775,472,889/473,053.50
  6. Step 6: Final answer
    x = 2,335,413.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.