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Finding the Third Proportional to 1,026,339.56 and 1,478,409.75

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Solution

The third proportional to 1,026,339.56 and 1,478,409.75 is: 2,129,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,339.56 : 1,478,409.75 = 1,478,409.75 : x
  2. Step 2: Convert to fraction form
    1,026,339.56/1,478,409.75 = 1,478,409.75/x
  3. Step 3: Cross multiply
    1,026,339.56x = 1,478,409.75 × 1,478,409.75
  4. Step 4: Simplify right side
    1,026,339.56x = 2,185,695,388,895.06
  5. Step 5: Solve for x
    x = 2,185,695,388,895.06/1,026,339.56
  6. Step 6: Final answer
    x = 2,129,602.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.