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Finding the Third Proportional to 486,768 and 1,065,297

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Solution

The third proportional to 486,768 and 1,065,297 is: 2,331,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,768 : 1,065,297 = 1,065,297 : x
  2. Step 2: Convert to fraction form
    486,768/1,065,297 = 1,065,297/x
  3. Step 3: Cross multiply
    486,768x = 1,065,297 × 1,065,297
  4. Step 4: Simplify right side
    486,768x = 1,134,857,698,209
  5. Step 5: Solve for x
    x = 1,134,857,698,209/486,768
  6. Step 6: Final answer
    x = 2,331,413.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.