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Finding the Third Proportional to 790,923 and 1,866,297

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Solution

The third proportional to 790,923 and 1,866,297 is: 4,403,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,923 : 1,866,297 = 1,866,297 : x
  2. Step 2: Convert to fraction form
    790,923/1,866,297 = 1,866,297/x
  3. Step 3: Cross multiply
    790,923x = 1,866,297 × 1,866,297
  4. Step 4: Simplify right side
    790,923x = 3,483,064,492,209
  5. Step 5: Solve for x
    x = 3,483,064,492,209/790,923
  6. Step 6: Final answer
    x = 4,403,797.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.