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Finding the Third Proportional to 816,594 and 1,201,563

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Solution

The third proportional to 816,594 and 1,201,563 is: 1,768,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,594 : 1,201,563 = 1,201,563 : x
  2. Step 2: Convert to fraction form
    816,594/1,201,563 = 1,201,563/x
  3. Step 3: Cross multiply
    816,594x = 1,201,563 × 1,201,563
  4. Step 4: Simplify right side
    816,594x = 1,443,753,642,969
  5. Step 5: Solve for x
    x = 1,443,753,642,969/816,594
  6. Step 6: Final answer
    x = 1,768,018.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.