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Finding the Third Proportional to 666,033 and 1,005,044

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Solution

The third proportional to 666,033 and 1,005,044 is: 1,516,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,033 : 1,005,044 = 1,005,044 : x
  2. Step 2: Convert to fraction form
    666,033/1,005,044 = 1,005,044/x
  3. Step 3: Cross multiply
    666,033x = 1,005,044 × 1,005,044
  4. Step 4: Simplify right side
    666,033x = 1,010,113,441,936
  5. Step 5: Solve for x
    x = 1,010,113,441,936/666,033
  6. Step 6: Final answer
    x = 1,516,611.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.