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Finding the Third Proportional to 1,326,580 and 2,842,424

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Solution

The third proportional to 1,326,580 and 2,842,424 is: 6,090,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,580 : 2,842,424 = 2,842,424 : x
  2. Step 2: Convert to fraction form
    1,326,580/2,842,424 = 2,842,424/x
  3. Step 3: Cross multiply
    1,326,580x = 2,842,424 × 2,842,424
  4. Step 4: Simplify right side
    1,326,580x = 8,079,374,195,776
  5. Step 5: Solve for x
    x = 8,079,374,195,776/1,326,580
  6. Step 6: Final answer
    x = 6,090,378.41

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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.