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Finding the Third Proportional to 1,085,319 and 2,363,494.50

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Solution

The third proportional to 1,085,319 and 2,363,494.50 is: 5,146,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,319 : 2,363,494.50 = 2,363,494.50 : x
  2. Step 2: Convert to fraction form
    1,085,319/2,363,494.50 = 2,363,494.50/x
  3. Step 3: Cross multiply
    1,085,319x = 2,363,494.50 × 2,363,494.50
  4. Step 4: Simplify right side
    1,085,319x = 5,586,106,251,530.25
  5. Step 5: Solve for x
    x = 5,586,106,251,530.25/1,085,319
  6. Step 6: Final answer
    x = 5,146,971.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.