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Finding the Third Proportional to 463,671 and 977,157

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Solution

The third proportional to 463,671 and 977,157 is: 2,059,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,671 : 977,157 = 977,157 : x
  2. Step 2: Convert to fraction form
    463,671/977,157 = 977,157/x
  3. Step 3: Cross multiply
    463,671x = 977,157 × 977,157
  4. Step 4: Simplify right side
    463,671x = 954,835,802,649
  5. Step 5: Solve for x
    x = 954,835,802,649/463,671
  6. Step 6: Final answer
    x = 2,059,295.93

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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.