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Finding the Third Proportional to 825,000 and 1,312,748

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Solution

The third proportional to 825,000 and 1,312,748 is: 2,088,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,000 : 1,312,748 = 1,312,748 : x
  2. Step 2: Convert to fraction form
    825,000/1,312,748 = 1,312,748/x
  3. Step 3: Cross multiply
    825,000x = 1,312,748 × 1,312,748
  4. Step 4: Simplify right side
    825,000x = 1,723,307,311,504
  5. Step 5: Solve for x
    x = 1,723,307,311,504/825,000
  6. Step 6: Final answer
    x = 2,088,857.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.