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Finding the Third Proportional to 634,570 and 1,384,894.50

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Solution

The third proportional to 634,570 and 1,384,894.50 is: 3,022,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,570 : 1,384,894.50 = 1,384,894.50 : x
  2. Step 2: Convert to fraction form
    634,570/1,384,894.50 = 1,384,894.50/x
  3. Step 3: Cross multiply
    634,570x = 1,384,894.50 × 1,384,894.50
  4. Step 4: Simplify right side
    634,570x = 1,917,932,776,130.25
  5. Step 5: Solve for x
    x = 1,917,932,776,130.25/634,570
  6. Step 6: Final answer
    x = 3,022,413.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.