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Finding the Third Proportional to 1,333,968 and 2,920,920

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Solution

The third proportional to 1,333,968 and 2,920,920 is: 6,395,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333,968 : 2,920,920 = 2,920,920 : x
  2. Step 2: Convert to fraction form
    1,333,968/2,920,920 = 2,920,920/x
  3. Step 3: Cross multiply
    1,333,968x = 2,920,920 × 2,920,920
  4. Step 4: Simplify right side
    1,333,968x = 8,531,773,646,400
  5. Step 5: Solve for x
    x = 8,531,773,646,400/1,333,968
  6. Step 6: Final answer
    x = 6,395,785.84

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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.