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Finding the Third Proportional to 429,752 and 910,729

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Solution

The third proportional to 429,752 and 910,729 is: 1,930,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,752 : 910,729 = 910,729 : x
  2. Step 2: Convert to fraction form
    429,752/910,729 = 910,729/x
  3. Step 3: Cross multiply
    429,752x = 910,729 × 910,729
  4. Step 4: Simplify right side
    429,752x = 829,427,311,441
  5. Step 5: Solve for x
    x = 829,427,311,441/429,752
  6. Step 6: Final answer
    x = 1,930,013.85

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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.