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Finding the Third Proportional to 771,369 and 1,675,413

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Solution

The third proportional to 771,369 and 1,675,413 is: 3,638,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,369 : 1,675,413 = 1,675,413 : x
  2. Step 2: Convert to fraction form
    771,369/1,675,413 = 1,675,413/x
  3. Step 3: Cross multiply
    771,369x = 1,675,413 × 1,675,413
  4. Step 4: Simplify right side
    771,369x = 2,807,008,720,569
  5. Step 5: Solve for x
    x = 2,807,008,720,569/771,369
  6. Step 6: Final answer
    x = 3,638,996.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.