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Finding the Third Proportional to 2,407,364 and 3,739,607

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Solution

The third proportional to 2,407,364 and 3,739,607 is: 5,809,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,364 : 3,739,607 = 3,739,607 : x
  2. Step 2: Convert to fraction form
    2,407,364/3,739,607 = 3,739,607/x
  3. Step 3: Cross multiply
    2,407,364x = 3,739,607 × 3,739,607
  4. Step 4: Simplify right side
    2,407,364x = 13,984,660,514,449
  5. Step 5: Solve for x
    x = 13,984,660,514,449/2,407,364
  6. Step 6: Final answer
    x = 5,809,117.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.