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Finding the Third Proportional to 537,174 and 838,454

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Solution

The third proportional to 537,174 and 838,454 is: 1,308,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,174 : 838,454 = 838,454 : x
  2. Step 2: Convert to fraction form
    537,174/838,454 = 838,454/x
  3. Step 3: Cross multiply
    537,174x = 838,454 × 838,454
  4. Step 4: Simplify right side
    537,174x = 703,005,110,116
  5. Step 5: Solve for x
    x = 703,005,110,116/537,174
  6. Step 6: Final answer
    x = 1,308,710.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.