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Finding the Third Proportional to 833,642 and 1,291,648

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Solution

The third proportional to 833,642 and 1,291,648 is: 2,001,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,642 : 1,291,648 = 1,291,648 : x
  2. Step 2: Convert to fraction form
    833,642/1,291,648 = 1,291,648/x
  3. Step 3: Cross multiply
    833,642x = 1,291,648 × 1,291,648
  4. Step 4: Simplify right side
    833,642x = 1,668,354,555,904
  5. Step 5: Solve for x
    x = 1,668,354,555,904/833,642
  6. Step 6: Final answer
    x = 2,001,284.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.