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Finding the Third Proportional to 463,674 and 977,163

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Solution

The third proportional to 463,674 and 977,163 is: 2,059,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,674 : 977,163 = 977,163 : x
  2. Step 2: Convert to fraction form
    463,674/977,163 = 977,163/x
  3. Step 3: Cross multiply
    463,674x = 977,163 × 977,163
  4. Step 4: Simplify right side
    463,674x = 954,847,528,569
  5. Step 5: Solve for x
    x = 954,847,528,569/463,674
  6. Step 6: Final answer
    x = 2,059,307.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.