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Finding the Third Proportional to 1,546,681 and 3,425,138

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Solution

The third proportional to 1,546,681 and 3,425,138 is: 7,584,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,681 : 3,425,138 = 3,425,138 : x
  2. Step 2: Convert to fraction form
    1,546,681/3,425,138 = 3,425,138/x
  3. Step 3: Cross multiply
    1,546,681x = 3,425,138 × 3,425,138
  4. Step 4: Simplify right side
    1,546,681x = 11,731,570,319,044
  5. Step 5: Solve for x
    x = 11,731,570,319,044/1,546,681
  6. Step 6: Final answer
    x = 7,584,996.72

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.