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Finding the Third Proportional to 746,904 and 1,148,040

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Solution

The third proportional to 746,904 and 1,148,040 is: 1,764,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,904 : 1,148,040 = 1,148,040 : x
  2. Step 2: Convert to fraction form
    746,904/1,148,040 = 1,148,040/x
  3. Step 3: Cross multiply
    746,904x = 1,148,040 × 1,148,040
  4. Step 4: Simplify right side
    746,904x = 1,317,995,841,600
  5. Step 5: Solve for x
    x = 1,317,995,841,600/746,904
  6. Step 6: Final answer
    x = 1,764,612.11

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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.