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Finding the Third Proportional to 429,738 and 910,700

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Solution

The third proportional to 429,738 and 910,700 is: 1,929,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,738 : 910,700 = 910,700 : x
  2. Step 2: Convert to fraction form
    429,738/910,700 = 910,700/x
  3. Step 3: Cross multiply
    429,738x = 910,700 × 910,700
  4. Step 4: Simplify right side
    429,738x = 829,374,490,000
  5. Step 5: Solve for x
    x = 829,374,490,000/429,738
  6. Step 6: Final answer
    x = 1,929,953.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.