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Finding the Third Proportional to 463,726 and 977,258

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Solution

The third proportional to 463,726 and 977,258 is: 2,059,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,726 : 977,258 = 977,258 : x
  2. Step 2: Convert to fraction form
    463,726/977,258 = 977,258/x
  3. Step 3: Cross multiply
    463,726x = 977,258 × 977,258
  4. Step 4: Simplify right side
    463,726x = 955,033,198,564
  5. Step 5: Solve for x
    x = 955,033,198,564/463,726
  6. Step 6: Final answer
    x = 2,059,477.36

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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.