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Finding the Third Proportional to 1,376,364 and 3,238,284

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Solution

The third proportional to 1,376,364 and 3,238,284 is: 7,618,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,364 : 3,238,284 = 3,238,284 : x
  2. Step 2: Convert to fraction form
    1,376,364/3,238,284 = 3,238,284/x
  3. Step 3: Cross multiply
    1,376,364x = 3,238,284 × 3,238,284
  4. Step 4: Simplify right side
    1,376,364x = 10,486,483,264,656
  5. Step 5: Solve for x
    x = 10,486,483,264,656/1,376,364
  6. Step 6: Final answer
    x = 7,618,975.26

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.