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Finding the Third Proportional to 569,738 and 845,823

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Solution

The third proportional to 569,738 and 845,823 is: 1,255,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,738 : 845,823 = 845,823 : x
  2. Step 2: Convert to fraction form
    569,738/845,823 = 845,823/x
  3. Step 3: Cross multiply
    569,738x = 845,823 × 845,823
  4. Step 4: Simplify right side
    569,738x = 715,416,547,329
  5. Step 5: Solve for x
    x = 715,416,547,329/569,738
  6. Step 6: Final answer
    x = 1,255,693.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.