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Finding the Third Proportional to 783,702 and 1,172,514

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Solution

The third proportional to 783,702 and 1,172,514 is: 1,754,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,702 : 1,172,514 = 1,172,514 : x
  2. Step 2: Convert to fraction form
    783,702/1,172,514 = 1,172,514/x
  3. Step 3: Cross multiply
    783,702x = 1,172,514 × 1,172,514
  4. Step 4: Simplify right side
    783,702x = 1,374,789,080,196
  5. Step 5: Solve for x
    x = 1,374,789,080,196/783,702
  6. Step 6: Final answer
    x = 1,754,224.28

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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.