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Finding the Third Proportional to 415,550 and 897,556

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Solution

The third proportional to 415,550 and 897,556 is: 1,938,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,550 : 897,556 = 897,556 : x
  2. Step 2: Convert to fraction form
    415,550/897,556 = 897,556/x
  3. Step 3: Cross multiply
    415,550x = 897,556 × 897,556
  4. Step 4: Simplify right side
    415,550x = 805,606,773,136
  5. Step 5: Solve for x
    x = 805,606,773,136/415,550
  6. Step 6: Final answer
    x = 1,938,651.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.