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Finding the Third Proportional to 1,121,665.69 and 1,740,112.13

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Solution

The third proportional to 1,121,665.69 and 1,740,112.13 is: 2,699,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,665.69 : 1,740,112.13 = 1,740,112.13 : x
  2. Step 2: Convert to fraction form
    1,121,665.69/1,740,112.13 = 1,740,112.13/x
  3. Step 3: Cross multiply
    1,121,665.69x = 1,740,112.13 × 1,740,112.13
  4. Step 4: Simplify right side
    1,121,665.69x = 3,027,990,207,572.02
  5. Step 5: Solve for x
    x = 3,027,990,207,572.02/1,121,665.69
  6. Step 6: Final answer
    x = 2,699,547.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.