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Finding the Third Proportional to 1,772,865 and 2,596,413.38

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Solution

The third proportional to 1,772,865 and 2,596,413.38 is: 3,802,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,865 : 2,596,413.38 = 2,596,413.38 : x
  2. Step 2: Convert to fraction form
    1,772,865/2,596,413.38 = 2,596,413.38/x
  3. Step 3: Cross multiply
    1,772,865x = 2,596,413.38 × 2,596,413.38
  4. Step 4: Simplify right side
    1,772,865x = 6,741,362,413,878.89
  5. Step 5: Solve for x
    x = 6,741,362,413,878.89/1,772,865
  6. Step 6: Final answer
    x = 3,802,524.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.