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Finding the Third Proportional to 611,370 and 1,438,527

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Solution

The third proportional to 611,370 and 1,438,527 is: 3,384,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,370 : 1,438,527 = 1,438,527 : x
  2. Step 2: Convert to fraction form
    611,370/1,438,527 = 1,438,527/x
  3. Step 3: Cross multiply
    611,370x = 1,438,527 × 1,438,527
  4. Step 4: Simplify right side
    611,370x = 2,069,359,929,729
  5. Step 5: Solve for x
    x = 2,069,359,929,729/611,370
  6. Step 6: Final answer
    x = 3,384,791.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.