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Finding the Third Proportional to 665,154 and 1,014,338

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Solution

The third proportional to 665,154 and 1,014,338 is: 1,546,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,154 : 1,014,338 = 1,014,338 : x
  2. Step 2: Convert to fraction form
    665,154/1,014,338 = 1,014,338/x
  3. Step 3: Cross multiply
    665,154x = 1,014,338 × 1,014,338
  4. Step 4: Simplify right side
    665,154x = 1,028,881,578,244
  5. Step 5: Solve for x
    x = 1,028,881,578,244/665,154
  6. Step 6: Final answer
    x = 1,546,832.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.