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Finding the Third Proportional to 596,594 and 1,162,948

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Solution

The third proportional to 596,594 and 1,162,948 is: 2,266,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,594 : 1,162,948 = 1,162,948 : x
  2. Step 2: Convert to fraction form
    596,594/1,162,948 = 1,162,948/x
  3. Step 3: Cross multiply
    596,594x = 1,162,948 × 1,162,948
  4. Step 4: Simplify right side
    596,594x = 1,352,448,050,704
  5. Step 5: Solve for x
    x = 1,352,448,050,704/596,594
  6. Step 6: Final answer
    x = 2,266,948.80

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.