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Finding the Third Proportional to 2,437,970 and 3,718,835

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Solution

The third proportional to 2,437,970 and 3,718,835 is: 5,672,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437,970 : 3,718,835 = 3,718,835 : x
  2. Step 2: Convert to fraction form
    2,437,970/3,718,835 = 3,718,835/x
  3. Step 3: Cross multiply
    2,437,970x = 3,718,835 × 3,718,835
  4. Step 4: Simplify right side
    2,437,970x = 13,829,733,757,225
  5. Step 5: Solve for x
    x = 13,829,733,757,225/2,437,970
  6. Step 6: Final answer
    x = 5,672,643.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.