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Finding the Third Proportional to 935,195 and 2,045,386

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Solution

The third proportional to 935,195 and 2,045,386 is: 4,473,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,195 : 2,045,386 = 2,045,386 : x
  2. Step 2: Convert to fraction form
    935,195/2,045,386 = 2,045,386/x
  3. Step 3: Cross multiply
    935,195x = 2,045,386 × 2,045,386
  4. Step 4: Simplify right side
    935,195x = 4,183,603,888,996
  5. Step 5: Solve for x
    x = 4,183,603,888,996/935,195
  6. Step 6: Final answer
    x = 4,473,509.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.