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Finding the Third Proportional to 423,516 and 929,940

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Solution

The third proportional to 423,516 and 929,940 is: 2,041,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,516 : 929,940 = 929,940 : x
  2. Step 2: Convert to fraction form
    423,516/929,940 = 929,940/x
  3. Step 3: Cross multiply
    423,516x = 929,940 × 929,940
  4. Step 4: Simplify right side
    423,516x = 864,788,403,600
  5. Step 5: Solve for x
    x = 864,788,403,600/423,516
  6. Step 6: Final answer
    x = 2,041,926.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.