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Finding the Third Proportional to 944,146.13 and 2,020,810.78

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Solution

The third proportional to 944,146.13 and 2,020,810.78 is: 4,325,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,146.13 : 2,020,810.78 = 2,020,810.78 : x
  2. Step 2: Convert to fraction form
    944,146.13/2,020,810.78 = 2,020,810.78/x
  3. Step 3: Cross multiply
    944,146.13x = 2,020,810.78 × 2,020,810.78
  4. Step 4: Simplify right side
    944,146.13x = 4,083,676,213,616.24
  5. Step 5: Solve for x
    x = 4,083,676,213,616.24/944,146.13
  6. Step 6: Final answer
    x = 4,325,258.67

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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.