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Finding the Third Proportional to 840,226 and 1,291,488

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Solution

The third proportional to 840,226 and 1,291,488 is: 1,985,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,226 : 1,291,488 = 1,291,488 : x
  2. Step 2: Convert to fraction form
    840,226/1,291,488 = 1,291,488/x
  3. Step 3: Cross multiply
    840,226x = 1,291,488 × 1,291,488
  4. Step 4: Simplify right side
    840,226x = 1,667,941,254,144
  5. Step 5: Solve for x
    x = 1,667,941,254,144/840,226
  6. Step 6: Final answer
    x = 1,985,110.26

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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.