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Finding the Third Proportional to 776,929 and 1,690,586

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Solution

The third proportional to 776,929 and 1,690,586 is: 3,678,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,929 : 1,690,586 = 1,690,586 : x
  2. Step 2: Convert to fraction form
    776,929/1,690,586 = 1,690,586/x
  3. Step 3: Cross multiply
    776,929x = 1,690,586 × 1,690,586
  4. Step 4: Simplify right side
    776,929x = 2,858,081,023,396
  5. Step 5: Solve for x
    x = 2,858,081,023,396/776,929
  6. Step 6: Final answer
    x = 3,678,690.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.