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Finding the Third Proportional to 1,686,532.69 and 2,590,720.69

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Solution

The third proportional to 1,686,532.69 and 2,590,720.69 is: 3,979,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,532.69 : 2,590,720.69 = 2,590,720.69 : x
  2. Step 2: Convert to fraction form
    1,686,532.69/2,590,720.69 = 2,590,720.69/x
  3. Step 3: Cross multiply
    1,686,532.69x = 2,590,720.69 × 2,590,720.69
  4. Step 4: Simplify right side
    1,686,532.69x = 6,711,833,680,640.47
  5. Step 5: Solve for x
    x = 6,711,833,680,640.47/1,686,532.69
  6. Step 6: Final answer
    x = 3,979,664.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.