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Finding the Third Proportional to 407,088 and 881,940

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Solution

The third proportional to 407,088 and 881,940 is: 1,910,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,088 : 881,940 = 881,940 : x
  2. Step 2: Convert to fraction form
    407,088/881,940 = 881,940/x
  3. Step 3: Cross multiply
    407,088x = 881,940 × 881,940
  4. Step 4: Simplify right side
    407,088x = 777,818,163,600
  5. Step 5: Solve for x
    x = 777,818,163,600/407,088
  6. Step 6: Final answer
    x = 1,910,688.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.