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Finding the Third Proportional to 2,000,106 and 4,312,948

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Solution

The third proportional to 2,000,106 and 4,312,948 is: 9,300,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,106 : 4,312,948 = 4,312,948 : x
  2. Step 2: Convert to fraction form
    2,000,106/4,312,948 = 4,312,948/x
  3. Step 3: Cross multiply
    2,000,106x = 4,312,948 × 4,312,948
  4. Step 4: Simplify right side
    2,000,106x = 18,601,520,450,704
  5. Step 5: Solve for x
    x = 18,601,520,450,704/2,000,106
  6. Step 6: Final answer
    x = 9,300,267.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.