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Finding the Third Proportional to 771,747 and 1,654,242

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Solution

The third proportional to 771,747 and 1,654,242 is: 3,545,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,747 : 1,654,242 = 1,654,242 : x
  2. Step 2: Convert to fraction form
    771,747/1,654,242 = 1,654,242/x
  3. Step 3: Cross multiply
    771,747x = 1,654,242 × 1,654,242
  4. Step 4: Simplify right side
    771,747x = 2,736,516,594,564
  5. Step 5: Solve for x
    x = 2,736,516,594,564/771,747
  6. Step 6: Final answer
    x = 3,545,872.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.