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Finding the Third Proportional to 2,605,248 and 5,490,432

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Solution

The third proportional to 2,605,248 and 5,490,432 is: 11,570,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,248 : 5,490,432 = 5,490,432 : x
  2. Step 2: Convert to fraction form
    2,605,248/5,490,432 = 5,490,432/x
  3. Step 3: Cross multiply
    2,605,248x = 5,490,432 × 5,490,432
  4. Step 4: Simplify right side
    2,605,248x = 30,144,843,546,624
  5. Step 5: Solve for x
    x = 30,144,843,546,624/2,605,248
  6. Step 6: Final answer
    x = 11,570,815.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.