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Finding the Third Proportional to 4,305,600 and 9,057,312

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Solution

The third proportional to 4,305,600 and 9,057,312 is: 19,053,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305,600 : 9,057,312 = 9,057,312 : x
  2. Step 2: Convert to fraction form
    4,305,600/9,057,312 = 9,057,312/x
  3. Step 3: Cross multiply
    4,305,600x = 9,057,312 × 9,057,312
  4. Step 4: Simplify right side
    4,305,600x = 82,034,900,665,344
  5. Step 5: Solve for x
    x = 82,034,900,665,344/4,305,600
  6. Step 6: Final answer
    x = 19,053,070.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.