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Finding the Third Proportional to 736,177 and 1,577,329

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Solution

The third proportional to 736,177 and 1,577,329 is: 3,379,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,177 : 1,577,329 = 1,577,329 : x
  2. Step 2: Convert to fraction form
    736,177/1,577,329 = 1,577,329/x
  3. Step 3: Cross multiply
    736,177x = 1,577,329 × 1,577,329
  4. Step 4: Simplify right side
    736,177x = 2,487,966,774,241
  5. Step 5: Solve for x
    x = 2,487,966,774,241/736,177
  6. Step 6: Final answer
    x = 3,379,576.89

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Why These Related Problems?

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