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Finding the Third Proportional to 834,564 and 1,255,830

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Solution

The third proportional to 834,564 and 1,255,830 is: 1,889,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,564 : 1,255,830 = 1,255,830 : x
  2. Step 2: Convert to fraction form
    834,564/1,255,830 = 1,255,830/x
  3. Step 3: Cross multiply
    834,564x = 1,255,830 × 1,255,830
  4. Step 4: Simplify right side
    834,564x = 1,577,108,988,900
  5. Step 5: Solve for x
    x = 1,577,108,988,900/834,564
  6. Step 6: Final answer
    x = 1,889,740.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.