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Finding the Third Proportional to 920,184 and 1,968,306

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Solution

The third proportional to 920,184 and 1,968,306 is: 4,210,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,184 : 1,968,306 = 1,968,306 : x
  2. Step 2: Convert to fraction form
    920,184/1,968,306 = 1,968,306/x
  3. Step 3: Cross multiply
    920,184x = 1,968,306 × 1,968,306
  4. Step 4: Simplify right side
    920,184x = 3,874,228,509,636
  5. Step 5: Solve for x
    x = 3,874,228,509,636/920,184
  6. Step 6: Final answer
    x = 4,210,275.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.