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Finding the Third Proportional to 476,392 and 1,021,856

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Solution

The third proportional to 476,392 and 1,021,856 is: 2,191,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,392 : 1,021,856 = 1,021,856 : x
  2. Step 2: Convert to fraction form
    476,392/1,021,856 = 1,021,856/x
  3. Step 3: Cross multiply
    476,392x = 1,021,856 × 1,021,856
  4. Step 4: Simplify right side
    476,392x = 1,044,189,684,736
  5. Step 5: Solve for x
    x = 1,044,189,684,736/476,392
  6. Step 6: Final answer
    x = 2,191,870.74

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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.