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Finding the Third Proportional to 463,580 and 977,802

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Solution

The third proportional to 463,580 and 977,802 is: 2,062,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,580 : 977,802 = 977,802 : x
  2. Step 2: Convert to fraction form
    463,580/977,802 = 977,802/x
  3. Step 3: Cross multiply
    463,580x = 977,802 × 977,802
  4. Step 4: Simplify right side
    463,580x = 956,096,751,204
  5. Step 5: Solve for x
    x = 956,096,751,204/463,580
  6. Step 6: Final answer
    x = 2,062,420.19

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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.