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Finding the Third Proportional to 463,724 and 977,260

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Solution

The third proportional to 463,724 and 977,260 is: 2,059,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,724 : 977,260 = 977,260 : x
  2. Step 2: Convert to fraction form
    463,724/977,260 = 977,260/x
  3. Step 3: Cross multiply
    463,724x = 977,260 × 977,260
  4. Step 4: Simplify right side
    463,724x = 955,037,107,600
  5. Step 5: Solve for x
    x = 955,037,107,600/463,724
  6. Step 6: Final answer
    x = 2,059,494.67

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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.