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Finding the Third Proportional to 1,456,162.69 and 2,279,312.81

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Solution

The third proportional to 1,456,162.69 and 2,279,312.81 is: 3,567,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,162.69 : 2,279,312.81 = 2,279,312.81 : x
  2. Step 2: Convert to fraction form
    1,456,162.69/2,279,312.81 = 2,279,312.81/x
  3. Step 3: Cross multiply
    1,456,162.69x = 2,279,312.81 × 2,279,312.81
  4. Step 4: Simplify right side
    1,456,162.69x = 5,195,266,897,226.66
  5. Step 5: Solve for x
    x = 5,195,266,897,226.66/1,456,162.69
  6. Step 6: Final answer
    x = 3,567,779.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.