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Finding the Third Proportional to 611,724 and 933,138

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Solution

The third proportional to 611,724 and 933,138 is: 1,423,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,724 : 933,138 = 933,138 : x
  2. Step 2: Convert to fraction form
    611,724/933,138 = 933,138/x
  3. Step 3: Cross multiply
    611,724x = 933,138 × 933,138
  4. Step 4: Simplify right side
    611,724x = 870,746,527,044
  5. Step 5: Solve for x
    x = 870,746,527,044/611,724
  6. Step 6: Final answer
    x = 1,423,430.38

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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.