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Finding the Third Proportional to 2,492,506 and 5,422,412

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Solution

The third proportional to 2,492,506 and 5,422,412 is: 11,796,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492,506 : 5,422,412 = 5,422,412 : x
  2. Step 2: Convert to fraction form
    2,492,506/5,422,412 = 5,422,412/x
  3. Step 3: Cross multiply
    2,492,506x = 5,422,412 × 5,422,412
  4. Step 4: Simplify right side
    2,492,506x = 29,402,551,897,744
  5. Step 5: Solve for x
    x = 29,402,551,897,744/2,492,506
  6. Step 6: Final answer
    x = 11,796,381.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.