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Finding the Third Proportional to 590,694 and 1,289,658

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Solution

The third proportional to 590,694 and 1,289,658 is: 2,815,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,694 : 1,289,658 = 1,289,658 : x
  2. Step 2: Convert to fraction form
    590,694/1,289,658 = 1,289,658/x
  3. Step 3: Cross multiply
    590,694x = 1,289,658 × 1,289,658
  4. Step 4: Simplify right side
    590,694x = 1,663,217,756,964
  5. Step 5: Solve for x
    x = 1,663,217,756,964/590,694
  6. Step 6: Final answer
    x = 2,815,701.12

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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.