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Finding the Third Proportional to 1,130,769 and 2,457,858

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Solution

The third proportional to 1,130,769 and 2,457,858 is: 5,342,440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,769 : 2,457,858 = 2,457,858 : x
  2. Step 2: Convert to fraction form
    1,130,769/2,457,858 = 2,457,858/x
  3. Step 3: Cross multiply
    1,130,769x = 2,457,858 × 2,457,858
  4. Step 4: Simplify right side
    1,130,769x = 6,041,065,948,164
  5. Step 5: Solve for x
    x = 6,041,065,948,164/1,130,769
  6. Step 6: Final answer
    x = 5,342,440.36

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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.