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Finding the Third Proportional to 497,462 and 1,065,898

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Solution

The third proportional to 497,462 and 1,065,898 is: 2,283,870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,462 : 1,065,898 = 1,065,898 : x
  2. Step 2: Convert to fraction form
    497,462/1,065,898 = 1,065,898/x
  3. Step 3: Cross multiply
    497,462x = 1,065,898 × 1,065,898
  4. Step 4: Simplify right side
    497,462x = 1,136,138,546,404
  5. Step 5: Solve for x
    x = 1,136,138,546,404/497,462
  6. Step 6: Final answer
    x = 2,283,870.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.