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Finding the Third Proportional to 759,744 and 1,127,904

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Solution

The third proportional to 759,744 and 1,127,904 is: 1,674,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,744 : 1,127,904 = 1,127,904 : x
  2. Step 2: Convert to fraction form
    759,744/1,127,904 = 1,127,904/x
  3. Step 3: Cross multiply
    759,744x = 1,127,904 × 1,127,904
  4. Step 4: Simplify right side
    759,744x = 1,272,167,433,216
  5. Step 5: Solve for x
    x = 1,272,167,433,216/759,744
  6. Step 6: Final answer
    x = 1,674,468.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.