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Finding the Third Proportional to 463,712 and 977,236

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Solution

The third proportional to 463,712 and 977,236 is: 2,059,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,712 : 977,236 = 977,236 : x
  2. Step 2: Convert to fraction form
    463,712/977,236 = 977,236/x
  3. Step 3: Cross multiply
    463,712x = 977,236 × 977,236
  4. Step 4: Simplify right side
    463,712x = 954,990,199,696
  5. Step 5: Solve for x
    x = 954,990,199,696/463,712
  6. Step 6: Final answer
    x = 2,059,446.81

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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.