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Finding the Third Proportional to 648,486 and 1,035,972

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Solution

The third proportional to 648,486 and 1,035,972 is: 1,654,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,486 : 1,035,972 = 1,035,972 : x
  2. Step 2: Convert to fraction form
    648,486/1,035,972 = 1,035,972/x
  3. Step 3: Cross multiply
    648,486x = 1,035,972 × 1,035,972
  4. Step 4: Simplify right side
    648,486x = 1,073,237,984,784
  5. Step 5: Solve for x
    x = 1,073,237,984,784/648,486
  6. Step 6: Final answer
    x = 1,654,990.22

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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.