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Finding the Third Proportional to 386,835 and 840,924

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Solution

The third proportional to 386,835 and 840,924 is: 1,828,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,835 : 840,924 = 840,924 : x
  2. Step 2: Convert to fraction form
    386,835/840,924 = 840,924/x
  3. Step 3: Cross multiply
    386,835x = 840,924 × 840,924
  4. Step 4: Simplify right side
    386,835x = 707,153,173,776
  5. Step 5: Solve for x
    x = 707,153,173,776/386,835
  6. Step 6: Final answer
    x = 1,828,048.58

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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.