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Finding the Third Proportional to 814,306 and 1,789,222

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Solution

The third proportional to 814,306 and 1,789,222 is: 3,931,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,306 : 1,789,222 = 1,789,222 : x
  2. Step 2: Convert to fraction form
    814,306/1,789,222 = 1,789,222/x
  3. Step 3: Cross multiply
    814,306x = 1,789,222 × 1,789,222
  4. Step 4: Simplify right side
    814,306x = 3,201,315,365,284
  5. Step 5: Solve for x
    x = 3,201,315,365,284/814,306
  6. Step 6: Final answer
    x = 3,931,341.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.