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Finding the Third Proportional to 2,588,946 and 5,675,556

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Solution

The third proportional to 2,588,946 and 5,675,556 is: 12,442,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588,946 : 5,675,556 = 5,675,556 : x
  2. Step 2: Convert to fraction form
    2,588,946/5,675,556 = 5,675,556/x
  3. Step 3: Cross multiply
    2,588,946x = 5,675,556 × 5,675,556
  4. Step 4: Simplify right side
    2,588,946x = 32,211,935,909,136
  5. Step 5: Solve for x
    x = 32,211,935,909,136/2,588,946
  6. Step 6: Final answer
    x = 12,442,104.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.