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Finding the Third Proportional to 846,399 and 1,148,220

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Solution

The third proportional to 846,399 and 1,148,220 is: 1,557,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,399 : 1,148,220 = 1,148,220 : x
  2. Step 2: Convert to fraction form
    846,399/1,148,220 = 1,148,220/x
  3. Step 3: Cross multiply
    846,399x = 1,148,220 × 1,148,220
  4. Step 4: Simplify right side
    846,399x = 1,318,409,168,400
  5. Step 5: Solve for x
    x = 1,318,409,168,400/846,399
  6. Step 6: Final answer
    x = 1,557,668.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.