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Finding the Third Proportional to 1,667,588.63 and 3,636,280.13

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Solution

The third proportional to 1,667,588.63 and 3,636,280.13 is: 7,929,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667,588.63 : 3,636,280.13 = 3,636,280.13 : x
  2. Step 2: Convert to fraction form
    1,667,588.63/3,636,280.13 = 3,636,280.13/x
  3. Step 3: Cross multiply
    1,667,588.63x = 3,636,280.13 × 3,636,280.13
  4. Step 4: Simplify right side
    1,667,588.63x = 13,222,533,147,470.02
  5. Step 5: Solve for x
    x = 13,222,533,147,470.02/1,667,588.63
  6. Step 6: Final answer
    x = 7,929,133.69

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Why These Related Problems?

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