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Finding the Third Proportional to 828,076 and 1,774,196

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Solution

The third proportional to 828,076 and 1,774,196 is: 3,801,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,076 : 1,774,196 = 1,774,196 : x
  2. Step 2: Convert to fraction form
    828,076/1,774,196 = 1,774,196/x
  3. Step 3: Cross multiply
    828,076x = 1,774,196 × 1,774,196
  4. Step 4: Simplify right side
    828,076x = 3,147,771,446,416
  5. Step 5: Solve for x
    x = 3,147,771,446,416/828,076
  6. Step 6: Final answer
    x = 3,801,307.42

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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.