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Finding the Third Proportional to 665,826 and 1,029,813

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Solution

The third proportional to 665,826 and 1,029,813 is: 1,592,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,826 : 1,029,813 = 1,029,813 : x
  2. Step 2: Convert to fraction form
    665,826/1,029,813 = 1,029,813/x
  3. Step 3: Cross multiply
    665,826x = 1,029,813 × 1,029,813
  4. Step 4: Simplify right side
    665,826x = 1,060,514,814,969
  5. Step 5: Solve for x
    x = 1,060,514,814,969/665,826
  6. Step 6: Final answer
    x = 1,592,780.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.