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Finding the Third Proportional to 594,154 and 1,237,264

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Solution

The third proportional to 594,154 and 1,237,264 is: 2,576,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,154 : 1,237,264 = 1,237,264 : x
  2. Step 2: Convert to fraction form
    594,154/1,237,264 = 1,237,264/x
  3. Step 3: Cross multiply
    594,154x = 1,237,264 × 1,237,264
  4. Step 4: Simplify right side
    594,154x = 1,530,822,205,696
  5. Step 5: Solve for x
    x = 1,530,822,205,696/594,154
  6. Step 6: Final answer
    x = 2,576,473.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.