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Finding the Third Proportional to 657,144 and 939,060

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Solution

The third proportional to 657,144 and 939,060 is: 1,341,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,144 : 939,060 = 939,060 : x
  2. Step 2: Convert to fraction form
    657,144/939,060 = 939,060/x
  3. Step 3: Cross multiply
    657,144x = 939,060 × 939,060
  4. Step 4: Simplify right side
    657,144x = 881,833,683,600
  5. Step 5: Solve for x
    x = 881,833,683,600/657,144
  6. Step 6: Final answer
    x = 1,341,918.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.