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Finding the Third Proportional to 2,318,085.84 and 3,407,675.06

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Solution

The third proportional to 2,318,085.84 and 3,407,675.06 is: 5,009,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318,085.84 : 3,407,675.06 = 3,407,675.06 : x
  2. Step 2: Convert to fraction form
    2,318,085.84/3,407,675.06 = 3,407,675.06/x
  3. Step 3: Cross multiply
    2,318,085.84x = 3,407,675.06 × 3,407,675.06
  4. Step 4: Simplify right side
    2,318,085.84x = 11,612,249,331,584.38
  5. Step 5: Solve for x
    x = 11,612,249,331,584.38/2,318,085.84
  6. Step 6: Final answer
    x = 5,009,412.99

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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.