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Finding the Third Proportional to 3,686,690 and 5,642,300

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Solution

The third proportional to 3,686,690 and 5,642,300 is: 8,635,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,690 : 5,642,300 = 5,642,300 : x
  2. Step 2: Convert to fraction form
    3,686,690/5,642,300 = 5,642,300/x
  3. Step 3: Cross multiply
    3,686,690x = 5,642,300 × 5,642,300
  4. Step 4: Simplify right side
    3,686,690x = 31,835,549,290,000
  5. Step 5: Solve for x
    x = 31,835,549,290,000/3,686,690
  6. Step 6: Final answer
    x = 8,635,266.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.