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Finding the Third Proportional to 656,543 and 991,619

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Solution

The third proportional to 656,543 and 991,619 is: 1,497,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,543 : 991,619 = 991,619 : x
  2. Step 2: Convert to fraction form
    656,543/991,619 = 991,619/x
  3. Step 3: Cross multiply
    656,543x = 991,619 × 991,619
  4. Step 4: Simplify right side
    656,543x = 983,308,241,161
  5. Step 5: Solve for x
    x = 983,308,241,161/656,543
  6. Step 6: Final answer
    x = 1,497,705.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.