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Finding the Third Proportional to 882,565 and 1,363,788

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Solution

The third proportional to 882,565 and 1,363,788 is: 2,107,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,565 : 1,363,788 = 1,363,788 : x
  2. Step 2: Convert to fraction form
    882,565/1,363,788 = 1,363,788/x
  3. Step 3: Cross multiply
    882,565x = 1,363,788 × 1,363,788
  4. Step 4: Simplify right side
    882,565x = 1,859,917,708,944
  5. Step 5: Solve for x
    x = 1,859,917,708,944/882,565
  6. Step 6: Final answer
    x = 2,107,400.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.