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Finding the Third Proportional to 476,391 and 1,021,855.50

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Solution

The third proportional to 476,391 and 1,021,855.50 is: 2,191,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,391 : 1,021,855.50 = 1,021,855.50 : x
  2. Step 2: Convert to fraction form
    476,391/1,021,855.50 = 1,021,855.50/x
  3. Step 3: Cross multiply
    476,391x = 1,021,855.50 × 1,021,855.50
  4. Step 4: Simplify right side
    476,391x = 1,044,188,662,880.25
  5. Step 5: Solve for x
    x = 1,044,188,662,880.25/476,391
  6. Step 6: Final answer
    x = 2,191,873.19

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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.