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Finding the Third Proportional to 648,488 and 1,035,975

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Solution

The third proportional to 648,488 and 1,035,975 is: 1,654,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,488 : 1,035,975 = 1,035,975 : x
  2. Step 2: Convert to fraction form
    648,488/1,035,975 = 1,035,975/x
  3. Step 3: Cross multiply
    648,488x = 1,035,975 × 1,035,975
  4. Step 4: Simplify right side
    648,488x = 1,073,244,200,625
  5. Step 5: Solve for x
    x = 1,073,244,200,625/648,488
  6. Step 6: Final answer
    x = 1,654,994.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.