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Finding the Third Proportional to 798,514 and 1,201,011

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Solution

The third proportional to 798,514 and 1,201,011 is: 1,806,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,514 : 1,201,011 = 1,201,011 : x
  2. Step 2: Convert to fraction form
    798,514/1,201,011 = 1,201,011/x
  3. Step 3: Cross multiply
    798,514x = 1,201,011 × 1,201,011
  4. Step 4: Simplify right side
    798,514x = 1,442,427,422,121
  5. Step 5: Solve for x
    x = 1,442,427,422,121/798,514
  6. Step 6: Final answer
    x = 1,806,389.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.