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Finding the Third Proportional to 1,021,294 and 1,616,425

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Solution

The third proportional to 1,021,294 and 1,616,425 is: 2,558,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,294 : 1,616,425 = 1,616,425 : x
  2. Step 2: Convert to fraction form
    1,021,294/1,616,425 = 1,616,425/x
  3. Step 3: Cross multiply
    1,021,294x = 1,616,425 × 1,616,425
  4. Step 4: Simplify right side
    1,021,294x = 2,612,829,780,625
  5. Step 5: Solve for x
    x = 2,612,829,780,625/1,021,294
  6. Step 6: Final answer
    x = 2,558,352.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.