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Finding the Third Proportional to 526,146 and 1,136,364

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Solution

The third proportional to 526,146 and 1,136,364 is: 2,454,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,146 : 1,136,364 = 1,136,364 : x
  2. Step 2: Convert to fraction form
    526,146/1,136,364 = 1,136,364/x
  3. Step 3: Cross multiply
    526,146x = 1,136,364 × 1,136,364
  4. Step 4: Simplify right side
    526,146x = 1,291,323,140,496
  5. Step 5: Solve for x
    x = 1,291,323,140,496/526,146
  6. Step 6: Final answer
    x = 2,454,305.73

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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.