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Finding the Third Proportional to 608,526 and 945,963

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Solution

The third proportional to 608,526 and 945,963 is: 1,470,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,526 : 945,963 = 945,963 : x
  2. Step 2: Convert to fraction form
    608,526/945,963 = 945,963/x
  3. Step 3: Cross multiply
    608,526x = 945,963 × 945,963
  4. Step 4: Simplify right side
    608,526x = 894,845,997,369
  5. Step 5: Solve for x
    x = 894,845,997,369/608,526
  6. Step 6: Final answer
    x = 1,470,513.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.