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Finding the Third Proportional to 1,071,861.75 and 2,299,140

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Solution

The third proportional to 1,071,861.75 and 2,299,140 is: 4,931,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,861.75 : 2,299,140 = 2,299,140 : x
  2. Step 2: Convert to fraction form
    1,071,861.75/2,299,140 = 2,299,140/x
  3. Step 3: Cross multiply
    1,071,861.75x = 2,299,140 × 2,299,140
  4. Step 4: Simplify right side
    1,071,861.75x = 5,286,044,739,600
  5. Step 5: Solve for x
    x = 5,286,044,739,600/1,071,861.75
  6. Step 6: Final answer
    x = 4,931,647.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.