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Finding the Third Proportional to 526,178 and 1,136,428

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Solution

The third proportional to 526,178 and 1,136,428 is: 2,454,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,178 : 1,136,428 = 1,136,428 : x
  2. Step 2: Convert to fraction form
    526,178/1,136,428 = 1,136,428/x
  3. Step 3: Cross multiply
    526,178x = 1,136,428 × 1,136,428
  4. Step 4: Simplify right side
    526,178x = 1,291,468,599,184
  5. Step 5: Solve for x
    x = 1,291,468,599,184/526,178
  6. Step 6: Final answer
    x = 2,454,432.91

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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.