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Finding the Third Proportional to 2,174,128 and 4,611,345

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Solution

The third proportional to 2,174,128 and 4,611,345 is: 9,780,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,128 : 4,611,345 = 4,611,345 : x
  2. Step 2: Convert to fraction form
    2,174,128/4,611,345 = 4,611,345/x
  3. Step 3: Cross multiply
    2,174,128x = 4,611,345 × 4,611,345
  4. Step 4: Simplify right side
    2,174,128x = 21,264,502,709,025
  5. Step 5: Solve for x
    x = 21,264,502,709,025/2,174,128
  6. Step 6: Final answer
    x = 9,780,704.13

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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.