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Finding the Third Proportional to 2,154,968 and 4,713,798

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Solution

The third proportional to 2,154,968 and 4,713,798 is: 10,311,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,968 : 4,713,798 = 4,713,798 : x
  2. Step 2: Convert to fraction form
    2,154,968/4,713,798 = 4,713,798/x
  3. Step 3: Cross multiply
    2,154,968x = 4,713,798 × 4,713,798
  4. Step 4: Simplify right side
    2,154,968x = 22,219,891,584,804
  5. Step 5: Solve for x
    x = 22,219,891,584,804/2,154,968
  6. Step 6: Final answer
    x = 10,311,007.67

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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.