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Finding the Third Proportional to 679,788 and 1,429,560

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Solution

The third proportional to 679,788 and 1,429,560 is: 3,006,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,788 : 1,429,560 = 1,429,560 : x
  2. Step 2: Convert to fraction form
    679,788/1,429,560 = 1,429,560/x
  3. Step 3: Cross multiply
    679,788x = 1,429,560 × 1,429,560
  4. Step 4: Simplify right side
    679,788x = 2,043,641,793,600
  5. Step 5: Solve for x
    x = 2,043,641,793,600/679,788
  6. Step 6: Final answer
    x = 3,006,292.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.