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Finding the Third Proportional to 527,266 and 1,137,476

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Solution

The third proportional to 527,266 and 1,137,476 is: 2,453,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,266 : 1,137,476 = 1,137,476 : x
  2. Step 2: Convert to fraction form
    527,266/1,137,476 = 1,137,476/x
  3. Step 3: Cross multiply
    527,266x = 1,137,476 × 1,137,476
  4. Step 4: Simplify right side
    527,266x = 1,293,851,650,576
  5. Step 5: Solve for x
    x = 1,293,851,650,576/527,266
  6. Step 6: Final answer
    x = 2,453,887.89

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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.