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Finding the Third Proportional to 429,729 and 910,686

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Solution

The third proportional to 429,729 and 910,686 is: 1,929,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,729 : 910,686 = 910,686 : x
  2. Step 2: Convert to fraction form
    429,729/910,686 = 910,686/x
  3. Step 3: Cross multiply
    429,729x = 910,686 × 910,686
  4. Step 4: Simplify right side
    429,729x = 829,348,990,596
  5. Step 5: Solve for x
    x = 829,348,990,596/429,729
  6. Step 6: Final answer
    x = 1,929,934.89

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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.