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Finding the Third Proportional to 1,738,368.84 and 2,557,299.09

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Solution

The third proportional to 1,738,368.84 and 2,557,299.09 is: 3,762,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,368.84 : 2,557,299.09 = 2,557,299.09 : x
  2. Step 2: Convert to fraction form
    1,738,368.84/2,557,299.09 = 2,557,299.09/x
  3. Step 3: Cross multiply
    1,738,368.84x = 2,557,299.09 × 2,557,299.09
  4. Step 4: Simplify right side
    1,738,368.84x = 6,539,778,654,894.57
  5. Step 5: Solve for x
    x = 6,539,778,654,894.57/1,738,368.84
  6. Step 6: Final answer
    x = 3,762,020.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.