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Finding the Third Proportional to 2,658,044 and 5,797,164

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Solution

The third proportional to 2,658,044 and 5,797,164 is: 12,643,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,044 : 5,797,164 = 5,797,164 : x
  2. Step 2: Convert to fraction form
    2,658,044/5,797,164 = 5,797,164/x
  3. Step 3: Cross multiply
    2,658,044x = 5,797,164 × 5,797,164
  4. Step 4: Simplify right side
    2,658,044x = 33,607,110,442,896
  5. Step 5: Solve for x
    x = 33,607,110,442,896/2,658,044
  6. Step 6: Final answer
    x = 12,643,549.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.