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Finding the Third Proportional to 1,302,373.69 and 1,857,790.69

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Solution

The third proportional to 1,302,373.69 and 1,857,790.69 is: 2,650,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,373.69 : 1,857,790.69 = 1,857,790.69 : x
  2. Step 2: Convert to fraction form
    1,302,373.69/1,857,790.69 = 1,857,790.69/x
  3. Step 3: Cross multiply
    1,302,373.69x = 1,857,790.69 × 1,857,790.69
  4. Step 4: Simplify right side
    1,302,373.69x = 3,451,386,238,561.72
  5. Step 5: Solve for x
    x = 3,451,386,238,561.72/1,302,373.69
  6. Step 6: Final answer
    x = 2,650,073.69

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.