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Finding the Third Proportional to 463,630 and 977,074

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Solution

The third proportional to 463,630 and 977,074 is: 2,059,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,630 : 977,074 = 977,074 : x
  2. Step 2: Convert to fraction form
    463,630/977,074 = 977,074/x
  3. Step 3: Cross multiply
    463,630x = 977,074 × 977,074
  4. Step 4: Simplify right side
    463,630x = 954,673,601,476
  5. Step 5: Solve for x
    x = 954,673,601,476/463,630
  6. Step 6: Final answer
    x = 2,059,128.19

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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.