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Finding the Third Proportional to 884,302 and 1,894,784

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Solution

The third proportional to 884,302 and 1,894,784 is: 4,059,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,302 : 1,894,784 = 1,894,784 : x
  2. Step 2: Convert to fraction form
    884,302/1,894,784 = 1,894,784/x
  3. Step 3: Cross multiply
    884,302x = 1,894,784 × 1,894,784
  4. Step 4: Simplify right side
    884,302x = 3,590,206,406,656
  5. Step 5: Solve for x
    x = 3,590,206,406,656/884,302
  6. Step 6: Final answer
    x = 4,059,932.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.