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Finding the Third Proportional to 1,472,159 and 3,169,820

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Solution

The third proportional to 1,472,159 and 3,169,820 is: 6,825,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472,159 : 3,169,820 = 3,169,820 : x
  2. Step 2: Convert to fraction form
    1,472,159/3,169,820 = 3,169,820/x
  3. Step 3: Cross multiply
    1,472,159x = 3,169,820 × 3,169,820
  4. Step 4: Simplify right side
    1,472,159x = 10,047,758,832,400
  5. Step 5: Solve for x
    x = 10,047,758,832,400/1,472,159
  6. Step 6: Final answer
    x = 6,825,185.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.