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Finding the Third Proportional to 478,674 and 973,044

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Solution

The third proportional to 478,674 and 973,044 is: 1,977,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,674 : 973,044 = 973,044 : x
  2. Step 2: Convert to fraction form
    478,674/973,044 = 973,044/x
  3. Step 3: Cross multiply
    478,674x = 973,044 × 973,044
  4. Step 4: Simplify right side
    478,674x = 946,814,625,936
  5. Step 5: Solve for x
    x = 946,814,625,936/478,674
  6. Step 6: Final answer
    x = 1,977,994.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.