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Finding the Third Proportional to 476,271 and 1,021,602

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Solution

The third proportional to 476,271 and 1,021,602 is: 2,191,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,271 : 1,021,602 = 1,021,602 : x
  2. Step 2: Convert to fraction form
    476,271/1,021,602 = 1,021,602/x
  3. Step 3: Cross multiply
    476,271x = 1,021,602 × 1,021,602
  4. Step 4: Simplify right side
    476,271x = 1,043,670,646,404
  5. Step 5: Solve for x
    x = 1,043,670,646,404/476,271
  6. Step 6: Final answer
    x = 2,191,337.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.