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Finding the Third Proportional to 846,394 and 1,148,211

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Solution

The third proportional to 846,394 and 1,148,211 is: 1,557,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,394 : 1,148,211 = 1,148,211 : x
  2. Step 2: Convert to fraction form
    846,394/1,148,211 = 1,148,211/x
  3. Step 3: Cross multiply
    846,394x = 1,148,211 × 1,148,211
  4. Step 4: Simplify right side
    846,394x = 1,318,388,500,521
  5. Step 5: Solve for x
    x = 1,318,388,500,521/846,394
  6. Step 6: Final answer
    x = 1,557,653.41

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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.