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Finding the Third Proportional to 592,380 and 1,302,816

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Solution

The third proportional to 592,380 and 1,302,816 is: 2,865,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,380 : 1,302,816 = 1,302,816 : x
  2. Step 2: Convert to fraction form
    592,380/1,302,816 = 1,302,816/x
  3. Step 3: Cross multiply
    592,380x = 1,302,816 × 1,302,816
  4. Step 4: Simplify right side
    592,380x = 1,697,329,529,856
  5. Step 5: Solve for x
    x = 1,697,329,529,856/592,380
  6. Step 6: Final answer
    x = 2,865,271.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.