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Finding the Third Proportional to 783,030 and 1,709,876

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Solution

The third proportional to 783,030 and 1,709,876 is: 3,733,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,030 : 1,709,876 = 1,709,876 : x
  2. Step 2: Convert to fraction form
    783,030/1,709,876 = 1,709,876/x
  3. Step 3: Cross multiply
    783,030x = 1,709,876 × 1,709,876
  4. Step 4: Simplify right side
    783,030x = 2,923,675,935,376
  5. Step 5: Solve for x
    x = 2,923,675,935,376/783,030
  6. Step 6: Final answer
    x = 3,733,798.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.