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Finding the Third Proportional to 1,416,023.65 and 2,177,790.68

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Solution

The third proportional to 1,416,023.65 and 2,177,790.68 is: 3,349,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,023.65 : 2,177,790.68 = 2,177,790.68 : x
  2. Step 2: Convert to fraction form
    1,416,023.65/2,177,790.68 = 2,177,790.68/x
  3. Step 3: Cross multiply
    1,416,023.65x = 2,177,790.68 × 2,177,790.68
  4. Step 4: Simplify right side
    1,416,023.65x = 4,742,772,244,533.74
  5. Step 5: Solve for x
    x = 4,742,772,244,533.74/1,416,023.65
  6. Step 6: Final answer
    x = 3,349,359.49

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Why These Related Problems?

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