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Finding the Third Proportional to 1,779,642 and 3,839,220

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Solution

The third proportional to 1,779,642 and 3,839,220 is: 8,282,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779,642 : 3,839,220 = 3,839,220 : x
  2. Step 2: Convert to fraction form
    1,779,642/3,839,220 = 3,839,220/x
  3. Step 3: Cross multiply
    1,779,642x = 3,839,220 × 3,839,220
  4. Step 4: Simplify right side
    1,779,642x = 14,739,610,208,400
  5. Step 5: Solve for x
    x = 14,739,610,208,400/1,779,642
  6. Step 6: Final answer
    x = 8,282,345.67

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Why These Related Problems?

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