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Finding the Third Proportional to 746,595 and 1,152,897

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Solution

The third proportional to 746,595 and 1,152,897 is: 1,780,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,595 : 1,152,897 = 1,152,897 : x
  2. Step 2: Convert to fraction form
    746,595/1,152,897 = 1,152,897/x
  3. Step 3: Cross multiply
    746,595x = 1,152,897 × 1,152,897
  4. Step 4: Simplify right side
    746,595x = 1,329,171,492,609
  5. Step 5: Solve for x
    x = 1,329,171,492,609/746,595
  6. Step 6: Final answer
    x = 1,780,311.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.