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Finding the Third Proportional to 565,421.63 and 1,219,413.38

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Solution

The third proportional to 565,421.63 and 1,219,413.38 is: 2,629,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,421.63 : 1,219,413.38 = 1,219,413.38 : x
  2. Step 2: Convert to fraction form
    565,421.63/1,219,413.38 = 1,219,413.38/x
  3. Step 3: Cross multiply
    565,421.63x = 1,219,413.38 × 1,219,413.38
  4. Step 4: Simplify right side
    565,421.63x = 1,486,968,979,128.89
  5. Step 5: Solve for x
    x = 1,486,968,979,128.89/565,421.63
  6. Step 6: Final answer
    x = 2,629,841.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.