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Finding the Third Proportional to 875,000 and 1,370,829

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Solution

The third proportional to 875,000 and 1,370,829 is: 2,147,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,000 : 1,370,829 = 1,370,829 : x
  2. Step 2: Convert to fraction form
    875,000/1,370,829 = 1,370,829/x
  3. Step 3: Cross multiply
    875,000x = 1,370,829 × 1,370,829
  4. Step 4: Simplify right side
    875,000x = 1,879,172,147,241
  5. Step 5: Solve for x
    x = 1,879,172,147,241/875,000
  6. Step 6: Final answer
    x = 2,147,625.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.