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Finding the Third Proportional to 677,031 and 1,071,033

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Solution

The third proportional to 677,031 and 1,071,033 is: 1,694,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,031 : 1,071,033 = 1,071,033 : x
  2. Step 2: Convert to fraction form
    677,031/1,071,033 = 1,071,033/x
  3. Step 3: Cross multiply
    677,031x = 1,071,033 × 1,071,033
  4. Step 4: Simplify right side
    677,031x = 1,147,111,687,089
  5. Step 5: Solve for x
    x = 1,147,111,687,089/677,031
  6. Step 6: Final answer
    x = 1,694,326.68

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.