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Finding the Third Proportional to 1,589,508 and 3,406,284

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Solution

The third proportional to 1,589,508 and 3,406,284 is: 7,299,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,508 : 3,406,284 = 3,406,284 : x
  2. Step 2: Convert to fraction form
    1,589,508/3,406,284 = 3,406,284/x
  3. Step 3: Cross multiply
    1,589,508x = 3,406,284 × 3,406,284
  4. Step 4: Simplify right side
    1,589,508x = 11,602,770,688,656
  5. Step 5: Solve for x
    x = 11,602,770,688,656/1,589,508
  6. Step 6: Final answer
    x = 7,299,598.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.