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Finding the Third Proportional to 2,442,840 and 5,210,352

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Solution

The third proportional to 2,442,840 and 5,210,352 is: 11,113,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442,840 : 5,210,352 = 5,210,352 : x
  2. Step 2: Convert to fraction form
    2,442,840/5,210,352 = 5,210,352/x
  3. Step 3: Cross multiply
    2,442,840x = 5,210,352 × 5,210,352
  4. Step 4: Simplify right side
    2,442,840x = 27,147,767,963,904
  5. Step 5: Solve for x
    x = 27,147,767,963,904/2,442,840
  6. Step 6: Final answer
    x = 11,113,199.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.