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Finding the Third Proportional to 953,034 and 1,481,829

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Solution

The third proportional to 953,034 and 1,481,829 is: 2,304,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,034 : 1,481,829 = 1,481,829 : x
  2. Step 2: Convert to fraction form
    953,034/1,481,829 = 1,481,829/x
  3. Step 3: Cross multiply
    953,034x = 1,481,829 × 1,481,829
  4. Step 4: Simplify right side
    953,034x = 2,195,817,185,241
  5. Step 5: Solve for x
    x = 2,195,817,185,241/953,034
  6. Step 6: Final answer
    x = 2,304,028.17

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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.