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Finding the Third Proportional to 771,749 and 1,654,246

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Solution

The third proportional to 771,749 and 1,654,246 is: 3,545,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,749 : 1,654,246 = 1,654,246 : x
  2. Step 2: Convert to fraction form
    771,749/1,654,246 = 1,654,246/x
  3. Step 3: Cross multiply
    771,749x = 1,654,246 × 1,654,246
  4. Step 4: Simplify right side
    771,749x = 2,736,529,828,516
  5. Step 5: Solve for x
    x = 2,736,529,828,516/771,749
  6. Step 6: Final answer
    x = 3,545,880.63

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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.