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Finding the Third Proportional to 633,582 and 1,378,701

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Solution

The third proportional to 633,582 and 1,378,701 is: 3,000,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,582 : 1,378,701 = 1,378,701 : x
  2. Step 2: Convert to fraction form
    633,582/1,378,701 = 1,378,701/x
  3. Step 3: Cross multiply
    633,582x = 1,378,701 × 1,378,701
  4. Step 4: Simplify right side
    633,582x = 1,900,816,447,401
  5. Step 5: Solve for x
    x = 1,900,816,447,401/633,582
  6. Step 6: Final answer
    x = 3,000,111.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.