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Finding the Third Proportional to 2,329,240 and 4,938,416

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Solution

The third proportional to 2,329,240 and 4,938,416 is: 10,470,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329,240 : 4,938,416 = 4,938,416 : x
  2. Step 2: Convert to fraction form
    2,329,240/4,938,416 = 4,938,416/x
  3. Step 3: Cross multiply
    2,329,240x = 4,938,416 × 4,938,416
  4. Step 4: Simplify right side
    2,329,240x = 24,387,952,589,056
  5. Step 5: Solve for x
    x = 24,387,952,589,056/2,329,240
  6. Step 6: Final answer
    x = 10,470,347.66

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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.