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Finding the Third Proportional to 1,184,596 and 1,732,466

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Solution

The third proportional to 1,184,596 and 1,732,466 is: 2,533,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,596 : 1,732,466 = 1,732,466 : x
  2. Step 2: Convert to fraction form
    1,184,596/1,732,466 = 1,732,466/x
  3. Step 3: Cross multiply
    1,184,596x = 1,732,466 × 1,732,466
  4. Step 4: Simplify right side
    1,184,596x = 3,001,438,441,156
  5. Step 5: Solve for x
    x = 3,001,438,441,156/1,184,596
  6. Step 6: Final answer
    x = 2,533,723.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.