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Finding the Third Proportional to 736,542 and 1,164,456

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Solution

The third proportional to 736,542 and 1,164,456 is: 1,840,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,542 : 1,164,456 = 1,164,456 : x
  2. Step 2: Convert to fraction form
    736,542/1,164,456 = 1,164,456/x
  3. Step 3: Cross multiply
    736,542x = 1,164,456 × 1,164,456
  4. Step 4: Simplify right side
    736,542x = 1,355,957,775,936
  5. Step 5: Solve for x
    x = 1,355,957,775,936/736,542
  6. Step 6: Final answer
    x = 1,840,978.21

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.