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Finding the Third Proportional to 1,975,695 and 4,312,974

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Solution

The third proportional to 1,975,695 and 4,312,974 is: 9,415,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,695 : 4,312,974 = 4,312,974 : x
  2. Step 2: Convert to fraction form
    1,975,695/4,312,974 = 4,312,974/x
  3. Step 3: Cross multiply
    1,975,695x = 4,312,974 × 4,312,974
  4. Step 4: Simplify right side
    1,975,695x = 18,601,744,724,676
  5. Step 5: Solve for x
    x = 18,601,744,724,676/1,975,695
  6. Step 6: Final answer
    x = 9,415,291.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.