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Finding the Third Proportional to 858,076 and 1,285,458

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Solution

The third proportional to 858,076 and 1,285,458 is: 1,925,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,076 : 1,285,458 = 1,285,458 : x
  2. Step 2: Convert to fraction form
    858,076/1,285,458 = 1,285,458/x
  3. Step 3: Cross multiply
    858,076x = 1,285,458 × 1,285,458
  4. Step 4: Simplify right side
    858,076x = 1,652,402,269,764
  5. Step 5: Solve for x
    x = 1,652,402,269,764/858,076
  6. Step 6: Final answer
    x = 1,925,706.20

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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.