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Finding the Third Proportional to 657,102 and 959,816.50

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Solution

The third proportional to 657,102 and 959,816.50 is: 1,401,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,102 : 959,816.50 = 959,816.50 : x
  2. Step 2: Convert to fraction form
    657,102/959,816.50 = 959,816.50/x
  3. Step 3: Cross multiply
    657,102x = 959,816.50 × 959,816.50
  4. Step 4: Simplify right side
    657,102x = 921,247,713,672.25
  5. Step 5: Solve for x
    x = 921,247,713,672.25/657,102
  6. Step 6: Final answer
    x = 1,401,985.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.