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Finding the Third Proportional to 2,174,116 and 4,611,320

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Solution

The third proportional to 2,174,116 and 4,611,320 is: 9,780,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,116 : 4,611,320 = 4,611,320 : x
  2. Step 2: Convert to fraction form
    2,174,116/4,611,320 = 4,611,320/x
  3. Step 3: Cross multiply
    2,174,116x = 4,611,320 × 4,611,320
  4. Step 4: Simplify right side
    2,174,116x = 21,264,272,142,400
  5. Step 5: Solve for x
    x = 21,264,272,142,400/2,174,116
  6. Step 6: Final answer
    x = 9,780,652.06

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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.