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Finding the Third Proportional to 527,406 and 1,136,946

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Solution

The third proportional to 527,406 and 1,136,946 is: 2,450,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,406 : 1,136,946 = 1,136,946 : x
  2. Step 2: Convert to fraction form
    527,406/1,136,946 = 1,136,946/x
  3. Step 3: Cross multiply
    527,406x = 1,136,946 × 1,136,946
  4. Step 4: Simplify right side
    527,406x = 1,292,646,206,916
  5. Step 5: Solve for x
    x = 1,292,646,206,916/527,406
  6. Step 6: Final answer
    x = 2,450,950.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.