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Finding the Third Proportional to 853,110 and 1,974,985

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Solution

The third proportional to 853,110 and 1,974,985 is: 4,572,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,110 : 1,974,985 = 1,974,985 : x
  2. Step 2: Convert to fraction form
    853,110/1,974,985 = 1,974,985/x
  3. Step 3: Cross multiply
    853,110x = 1,974,985 × 1,974,985
  4. Step 4: Simplify right side
    853,110x = 3,900,565,750,225
  5. Step 5: Solve for x
    x = 3,900,565,750,225/853,110
  6. Step 6: Final answer
    x = 4,572,172.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.