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Finding the Third Proportional to 803,664 and 1,215,900

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Solution

The third proportional to 803,664 and 1,215,900 is: 1,839,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,664 : 1,215,900 = 1,215,900 : x
  2. Step 2: Convert to fraction form
    803,664/1,215,900 = 1,215,900/x
  3. Step 3: Cross multiply
    803,664x = 1,215,900 × 1,215,900
  4. Step 4: Simplify right side
    803,664x = 1,478,412,810,000
  5. Step 5: Solve for x
    x = 1,478,412,810,000/803,664
  6. Step 6: Final answer
    x = 1,839,590.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.