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Finding the Third Proportional to 803,126 and 1,243,569

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Solution

The third proportional to 803,126 and 1,243,569 is: 1,925,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,126 : 1,243,569 = 1,243,569 : x
  2. Step 2: Convert to fraction form
    803,126/1,243,569 = 1,243,569/x
  3. Step 3: Cross multiply
    803,126x = 1,243,569 × 1,243,569
  4. Step 4: Simplify right side
    803,126x = 1,546,463,857,761
  5. Step 5: Solve for x
    x = 1,546,463,857,761/803,126
  6. Step 6: Final answer
    x = 1,925,555.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.