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Finding the Third Proportional to 2,329,250 and 4,938,424

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Solution

The third proportional to 2,329,250 and 4,938,424 is: 10,470,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329,250 : 4,938,424 = 4,938,424 : x
  2. Step 2: Convert to fraction form
    2,329,250/4,938,424 = 4,938,424/x
  3. Step 3: Cross multiply
    2,329,250x = 4,938,424 × 4,938,424
  4. Step 4: Simplify right side
    2,329,250x = 24,388,031,603,776
  5. Step 5: Solve for x
    x = 24,388,031,603,776/2,329,250
  6. Step 6: Final answer
    x = 10,470,336.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.