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Finding the Third Proportional to 429,948 and 918,540

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Solution

The third proportional to 429,948 and 918,540 is: 1,962,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,948 : 918,540 = 918,540 : x
  2. Step 2: Convert to fraction form
    429,948/918,540 = 918,540/x
  3. Step 3: Cross multiply
    429,948x = 918,540 × 918,540
  4. Step 4: Simplify right side
    429,948x = 843,715,731,600
  5. Step 5: Solve for x
    x = 843,715,731,600/429,948
  6. Step 6: Final answer
    x = 1,962,366.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.