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Finding the Third Proportional to 1,346,403 and 2,881,929

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Solution

The third proportional to 1,346,403 and 2,881,929 is: 6,168,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,403 : 2,881,929 = 2,881,929 : x
  2. Step 2: Convert to fraction form
    1,346,403/2,881,929 = 2,881,929/x
  3. Step 3: Cross multiply
    1,346,403x = 2,881,929 × 2,881,929
  4. Step 4: Simplify right side
    1,346,403x = 8,305,514,761,041
  5. Step 5: Solve for x
    x = 8,305,514,761,041/1,346,403
  6. Step 6: Final answer
    x = 6,168,669.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.