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Finding the Third Proportional to 602,902 and 933,114

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Solution

The third proportional to 602,902 and 933,114 is: 1,444,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,902 : 933,114 = 933,114 : x
  2. Step 2: Convert to fraction form
    602,902/933,114 = 933,114/x
  3. Step 3: Cross multiply
    602,902x = 933,114 × 933,114
  4. Step 4: Simplify right side
    602,902x = 870,701,736,996
  5. Step 5: Solve for x
    x = 870,701,736,996/602,902
  6. Step 6: Final answer
    x = 1,444,184.52

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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.