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Finding the Third Proportional to 2,966,598 and 6,380,316

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Solution

The third proportional to 2,966,598 and 6,380,316 is: 13,722,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,598 : 6,380,316 = 6,380,316 : x
  2. Step 2: Convert to fraction form
    2,966,598/6,380,316 = 6,380,316/x
  3. Step 3: Cross multiply
    2,966,598x = 6,380,316 × 6,380,316
  4. Step 4: Simplify right side
    2,966,598x = 40,708,432,259,856
  5. Step 5: Solve for x
    x = 40,708,432,259,856/2,966,598
  6. Step 6: Final answer
    x = 13,722,261.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.