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Finding the Third Proportional to 665,838 and 1,043,388

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Solution

The third proportional to 665,838 and 1,043,388 is: 1,635,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,838 : 1,043,388 = 1,043,388 : x
  2. Step 2: Convert to fraction form
    665,838/1,043,388 = 1,043,388/x
  3. Step 3: Cross multiply
    665,838x = 1,043,388 × 1,043,388
  4. Step 4: Simplify right side
    665,838x = 1,088,658,518,544
  5. Step 5: Solve for x
    x = 1,088,658,518,544/665,838
  6. Step 6: Final answer
    x = 1,635,020.11

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