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Finding the Third Proportional to 736,394 and 1,577,644

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Solution

The third proportional to 736,394 and 1,577,644 is: 3,379,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,394 : 1,577,644 = 1,577,644 : x
  2. Step 2: Convert to fraction form
    736,394/1,577,644 = 1,577,644/x
  3. Step 3: Cross multiply
    736,394x = 1,577,644 × 1,577,644
  4. Step 4: Simplify right side
    736,394x = 2,488,960,590,736
  5. Step 5: Solve for x
    x = 2,488,960,590,736/736,394
  6. Step 6: Final answer
    x = 3,379,930.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.