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Finding the Third Proportional to 478,546 and 1,006,692

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Solution

The third proportional to 478,546 and 1,006,692 is: 2,117,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,546 : 1,006,692 = 1,006,692 : x
  2. Step 2: Convert to fraction form
    478,546/1,006,692 = 1,006,692/x
  3. Step 3: Cross multiply
    478,546x = 1,006,692 × 1,006,692
  4. Step 4: Simplify right side
    478,546x = 1,013,428,782,864
  5. Step 5: Solve for x
    x = 1,013,428,782,864/478,546
  6. Step 6: Final answer
    x = 2,117,724.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.