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Finding the Third Proportional to 832,382 and 1,248,684

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Solution

The third proportional to 832,382 and 1,248,684 is: 1,873,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,382 : 1,248,684 = 1,248,684 : x
  2. Step 2: Convert to fraction form
    832,382/1,248,684 = 1,248,684/x
  3. Step 3: Cross multiply
    832,382x = 1,248,684 × 1,248,684
  4. Step 4: Simplify right side
    832,382x = 1,559,211,731,856
  5. Step 5: Solve for x
    x = 1,559,211,731,856/832,382
  6. Step 6: Final answer
    x = 1,873,192.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.