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Finding the Third Proportional to 654,738 and 1,021,902

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Solution

The third proportional to 654,738 and 1,021,902 is: 1,594,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,738 : 1,021,902 = 1,021,902 : x
  2. Step 2: Convert to fraction form
    654,738/1,021,902 = 1,021,902/x
  3. Step 3: Cross multiply
    654,738x = 1,021,902 × 1,021,902
  4. Step 4: Simplify right side
    654,738x = 1,044,283,697,604
  5. Step 5: Solve for x
    x = 1,044,283,697,604/654,738
  6. Step 6: Final answer
    x = 1,594,964.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.