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Finding the Third Proportional to 1,364,196 and 2,970,588

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Solution

The third proportional to 1,364,196 and 2,970,588 is: 6,468,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,196 : 2,970,588 = 2,970,588 : x
  2. Step 2: Convert to fraction form
    1,364,196/2,970,588 = 2,970,588/x
  3. Step 3: Cross multiply
    1,364,196x = 2,970,588 × 2,970,588
  4. Step 4: Simplify right side
    1,364,196x = 8,824,393,065,744
  5. Step 5: Solve for x
    x = 8,824,393,065,744/1,364,196
  6. Step 6: Final answer
    x = 6,468,566.88

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