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Finding the Third Proportional to 526,176 and 1,136,427

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Solution

The third proportional to 526,176 and 1,136,427 is: 2,454,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,176 : 1,136,427 = 1,136,427 : x
  2. Step 2: Convert to fraction form
    526,176/1,136,427 = 1,136,427/x
  3. Step 3: Cross multiply
    526,176x = 1,136,427 × 1,136,427
  4. Step 4: Simplify right side
    526,176x = 1,291,466,326,329
  5. Step 5: Solve for x
    x = 1,291,466,326,329/526,176
  6. Step 6: Final answer
    x = 2,454,437.92

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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.