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Finding the Third Proportional to 2,852,833.50 and 4,176,837

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Solution

The third proportional to 2,852,833.50 and 4,176,837 is: 6,115,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,833.50 : 4,176,837 = 4,176,837 : x
  2. Step 2: Convert to fraction form
    2,852,833.50/4,176,837 = 4,176,837/x
  3. Step 3: Cross multiply
    2,852,833.50x = 4,176,837 × 4,176,837
  4. Step 4: Simplify right side
    2,852,833.50x = 17,445,967,324,569
  5. Step 5: Solve for x
    x = 17,445,967,324,569/2,852,833.50
  6. Step 6: Final answer
    x = 6,115,312.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.