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Finding the Third Proportional to 3,160,273.50 and 4,786,296.75

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Solution

The third proportional to 3,160,273.50 and 4,786,296.75 is: 7,248,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160,273.50 : 4,786,296.75 = 4,786,296.75 : x
  2. Step 2: Convert to fraction form
    3,160,273.50/4,786,296.75 = 4,786,296.75/x
  3. Step 3: Cross multiply
    3,160,273.50x = 4,786,296.75 × 4,786,296.75
  4. Step 4: Simplify right side
    3,160,273.50x = 22,908,636,579,060.56
  5. Step 5: Solve for x
    x = 22,908,636,579,060.56/3,160,273.50
  6. Step 6: Final answer
    x = 7,248,941.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.