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Finding the Third Proportional to 1,654,024 and 3,561,473

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Solution

The third proportional to 1,654,024 and 3,561,473 is: 7,668,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,024 : 3,561,473 = 3,561,473 : x
  2. Step 2: Convert to fraction form
    1,654,024/3,561,473 = 3,561,473/x
  3. Step 3: Cross multiply
    1,654,024x = 3,561,473 × 3,561,473
  4. Step 4: Simplify right side
    1,654,024x = 12,684,089,929,729
  5. Step 5: Solve for x
    x = 12,684,089,929,729/1,654,024
  6. Step 6: Final answer
    x = 7,668,625.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.