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Finding the Third Proportional to 2,735,442.94 and 4,290,950.06

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Solution

The third proportional to 2,735,442.94 and 4,290,950.06 is: 6,730,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,442.94 : 4,290,950.06 = 4,290,950.06 : x
  2. Step 2: Convert to fraction form
    2,735,442.94/4,290,950.06 = 4,290,950.06/x
  3. Step 3: Cross multiply
    2,735,442.94x = 4,290,950.06 × 4,290,950.06
  4. Step 4: Simplify right side
    2,735,442.94x = 18,412,252,438,868.75
  5. Step 5: Solve for x
    x = 18,412,252,438,868.75/2,735,442.94
  6. Step 6: Final answer
    x = 6,730,994.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.