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Finding the Third Proportional to 1,029,894 and 1,539,006

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Solution

The third proportional to 1,029,894 and 1,539,006 is: 2,299,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,894 : 1,539,006 = 1,539,006 : x
  2. Step 2: Convert to fraction form
    1,029,894/1,539,006 = 1,539,006/x
  3. Step 3: Cross multiply
    1,029,894x = 1,539,006 × 1,539,006
  4. Step 4: Simplify right side
    1,029,894x = 2,368,539,468,036
  5. Step 5: Solve for x
    x = 2,368,539,468,036/1,029,894
  6. Step 6: Final answer
    x = 2,299,789.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.