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Finding the Third Proportional to 1,005,331 and 1,406,301

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Solution

The third proportional to 1,005,331 and 1,406,301 is: 1,967,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,331 : 1,406,301 = 1,406,301 : x
  2. Step 2: Convert to fraction form
    1,005,331/1,406,301 = 1,406,301/x
  3. Step 3: Cross multiply
    1,005,331x = 1,406,301 × 1,406,301
  4. Step 4: Simplify right side
    1,005,331x = 1,977,682,502,601
  5. Step 5: Solve for x
    x = 1,977,682,502,601/1,005,331
  6. Step 6: Final answer
    x = 1,967,195.38

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.