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Finding the Third Proportional to 1,475,085.94 and 3,218,261.63

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Solution

The third proportional to 1,475,085.94 and 3,218,261.63 is: 7,021,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,085.94 : 3,218,261.63 = 3,218,261.63 : x
  2. Step 2: Convert to fraction form
    1,475,085.94/3,218,261.63 = 3,218,261.63/x
  3. Step 3: Cross multiply
    1,475,085.94x = 3,218,261.63 × 3,218,261.63
  4. Step 4: Simplify right side
    1,475,085.94x = 10,357,207,886,947.64
  5. Step 5: Solve for x
    x = 10,357,207,886,947.64/1,475,085.94
  6. Step 6: Final answer
    x = 7,021,426.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.