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Finding the Third Proportional to 590,600 and 1,289,461

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Solution

The third proportional to 590,600 and 1,289,461 is: 2,815,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,600 : 1,289,461 = 1,289,461 : x
  2. Step 2: Convert to fraction form
    590,600/1,289,461 = 1,289,461/x
  3. Step 3: Cross multiply
    590,600x = 1,289,461 × 1,289,461
  4. Step 4: Simplify right side
    590,600x = 1,662,709,670,521
  5. Step 5: Solve for x
    x = 1,662,709,670,521/590,600
  6. Step 6: Final answer
    x = 2,815,288.98

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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.