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Finding the Third Proportional to 1,858,429.88 and 2,617,118.06

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Solution

The third proportional to 1,858,429.88 and 2,617,118.06 is: 3,685,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858,429.88 : 2,617,118.06 = 2,617,118.06 : x
  2. Step 2: Convert to fraction form
    1,858,429.88/2,617,118.06 = 2,617,118.06/x
  3. Step 3: Cross multiply
    1,858,429.88x = 2,617,118.06 × 2,617,118.06
  4. Step 4: Simplify right side
    1,858,429.88x = 6,849,306,953,063.75
  5. Step 5: Solve for x
    x = 6,849,306,953,063.75/1,858,429.88
  6. Step 6: Final answer
    x = 3,685,534.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.