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Finding the Third Proportional to 2,071,306 and 4,501,146

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Solution

The third proportional to 2,071,306 and 4,501,146 is: 9,781,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,306 : 4,501,146 = 4,501,146 : x
  2. Step 2: Convert to fraction form
    2,071,306/4,501,146 = 4,501,146/x
  3. Step 3: Cross multiply
    2,071,306x = 4,501,146 × 4,501,146
  4. Step 4: Simplify right side
    2,071,306x = 20,260,315,313,316
  5. Step 5: Solve for x
    x = 20,260,315,313,316/2,071,306
  6. Step 6: Final answer
    x = 9,781,420.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.