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Finding the Third Proportional to 614,373.75 and 1,346,846.06

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Solution

The third proportional to 614,373.75 and 1,346,846.06 is: 2,952,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,373.75 : 1,346,846.06 = 1,346,846.06 : x
  2. Step 2: Convert to fraction form
    614,373.75/1,346,846.06 = 1,346,846.06/x
  3. Step 3: Cross multiply
    614,373.75x = 1,346,846.06 × 1,346,846.06
  4. Step 4: Simplify right side
    614,373.75x = 1,813,994,316,071.75
  5. Step 5: Solve for x
    x = 1,813,994,316,071.75/614,373.75
  6. Step 6: Final answer
    x = 2,952,590.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.