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Finding the Third Proportional to 908,814 and 1,911,642

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Solution

The third proportional to 908,814 and 1,911,642 is: 4,021,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,814 : 1,911,642 = 1,911,642 : x
  2. Step 2: Convert to fraction form
    908,814/1,911,642 = 1,911,642/x
  3. Step 3: Cross multiply
    908,814x = 1,911,642 × 1,911,642
  4. Step 4: Simplify right side
    908,814x = 3,654,375,136,164
  5. Step 5: Solve for x
    x = 3,654,375,136,164/908,814
  6. Step 6: Final answer
    x = 4,021,037.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.