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Finding the Third Proportional to 1,288,448 and 1,894,784

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Solution

The third proportional to 1,288,448 and 1,894,784 is: 2,786,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,448 : 1,894,784 = 1,894,784 : x
  2. Step 2: Convert to fraction form
    1,288,448/1,894,784 = 1,894,784/x
  3. Step 3: Cross multiply
    1,288,448x = 1,894,784 × 1,894,784
  4. Step 4: Simplify right side
    1,288,448x = 3,590,206,406,656
  5. Step 5: Solve for x
    x = 3,590,206,406,656/1,288,448
  6. Step 6: Final answer
    x = 2,786,458.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.