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Finding the Third Proportional to 1,256,176.69 and 1,642,533.19

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Solution

The third proportional to 1,256,176.69 and 1,642,533.19 is: 2,147,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256,176.69 : 1,642,533.19 = 1,642,533.19 : x
  2. Step 2: Convert to fraction form
    1,256,176.69/1,642,533.19 = 1,642,533.19/x
  3. Step 3: Cross multiply
    1,256,176.69x = 1,642,533.19 × 1,642,533.19
  4. Step 4: Simplify right side
    1,256,176.69x = 2,697,915,272,038.91
  5. Step 5: Solve for x
    x = 2,697,915,272,038.91/1,256,176.69
  6. Step 6: Final answer
    x = 2,147,719.58

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.