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Finding the Third Proportional to 610,560 and 933,968

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Solution

The third proportional to 610,560 and 933,968 is: 1,428,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,560 : 933,968 = 933,968 : x
  2. Step 2: Convert to fraction form
    610,560/933,968 = 933,968/x
  3. Step 3: Cross multiply
    610,560x = 933,968 × 933,968
  4. Step 4: Simplify right side
    610,560x = 872,296,225,024
  5. Step 5: Solve for x
    x = 872,296,225,024/610,560
  6. Step 6: Final answer
    x = 1,428,682.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.