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Finding the Third Proportional to 858,384 and 1,277,424

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Solution

The third proportional to 858,384 and 1,277,424 is: 1,901,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,384 : 1,277,424 = 1,277,424 : x
  2. Step 2: Convert to fraction form
    858,384/1,277,424 = 1,277,424/x
  3. Step 3: Cross multiply
    858,384x = 1,277,424 × 1,277,424
  4. Step 4: Simplify right side
    858,384x = 1,631,812,075,776
  5. Step 5: Solve for x
    x = 1,631,812,075,776/858,384
  6. Step 6: Final answer
    x = 1,901,028.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.