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Finding the Third Proportional to 476,396 and 1,021,865

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Solution

The third proportional to 476,396 and 1,021,865 is: 2,191,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,396 : 1,021,865 = 1,021,865 : x
  2. Step 2: Convert to fraction form
    476,396/1,021,865 = 1,021,865/x
  3. Step 3: Cross multiply
    476,396x = 1,021,865 × 1,021,865
  4. Step 4: Simplify right side
    476,396x = 1,044,208,078,225
  5. Step 5: Solve for x
    x = 1,044,208,078,225/476,396
  6. Step 6: Final answer
    x = 2,191,890.94

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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.