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Finding the Third Proportional to 478,644 and 1,009,574

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Solution

The third proportional to 478,644 and 1,009,574 is: 2,129,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,644 : 1,009,574 = 1,009,574 : x
  2. Step 2: Convert to fraction form
    478,644/1,009,574 = 1,009,574/x
  3. Step 3: Cross multiply
    478,644x = 1,009,574 × 1,009,574
  4. Step 4: Simplify right side
    478,644x = 1,019,239,661,476
  5. Step 5: Solve for x
    x = 1,019,239,661,476/478,644
  6. Step 6: Final answer
    x = 2,129,431.61

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.