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Finding the Third Proportional to 987,206 and 1,492,953

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Solution

The third proportional to 987,206 and 1,492,953 is: 2,257,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,206 : 1,492,953 = 1,492,953 : x
  2. Step 2: Convert to fraction form
    987,206/1,492,953 = 1,492,953/x
  3. Step 3: Cross multiply
    987,206x = 1,492,953 × 1,492,953
  4. Step 4: Simplify right side
    987,206x = 2,228,908,660,209
  5. Step 5: Solve for x
    x = 2,228,908,660,209/987,206
  6. Step 6: Final answer
    x = 2,257,794.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.