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Finding the Third Proportional to 824,580 and 1,773,814

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Solution

The third proportional to 824,580 and 1,773,814 is: 3,815,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,580 : 1,773,814 = 1,773,814 : x
  2. Step 2: Convert to fraction form
    824,580/1,773,814 = 1,773,814/x
  3. Step 3: Cross multiply
    824,580x = 1,773,814 × 1,773,814
  4. Step 4: Simplify right side
    824,580x = 3,146,416,106,596
  5. Step 5: Solve for x
    x = 3,146,416,106,596/824,580
  6. Step 6: Final answer
    x = 3,815,780.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.