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Finding the Third Proportional to 610,266 and 1,329,021

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Solution

The third proportional to 610,266 and 1,329,021 is: 2,894,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,266 : 1,329,021 = 1,329,021 : x
  2. Step 2: Convert to fraction form
    610,266/1,329,021 = 1,329,021/x
  3. Step 3: Cross multiply
    610,266x = 1,329,021 × 1,329,021
  4. Step 4: Simplify right side
    610,266x = 1,766,296,818,441
  5. Step 5: Solve for x
    x = 1,766,296,818,441/610,266
  6. Step 6: Final answer
    x = 2,894,306.45

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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.