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Finding the Third Proportional to 736,896 and 1,137,918

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Solution

The third proportional to 736,896 and 1,137,918 is: 1,757,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,896 : 1,137,918 = 1,137,918 : x
  2. Step 2: Convert to fraction form
    736,896/1,137,918 = 1,137,918/x
  3. Step 3: Cross multiply
    736,896x = 1,137,918 × 1,137,918
  4. Step 4: Simplify right side
    736,896x = 1,294,857,374,724
  5. Step 5: Solve for x
    x = 1,294,857,374,724/736,896
  6. Step 6: Final answer
    x = 1,757,177.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.