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Finding the Third Proportional to 526,140 and 1,136,358

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Solution

The third proportional to 526,140 and 1,136,358 is: 2,454,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,140 : 1,136,358 = 1,136,358 : x
  2. Step 2: Convert to fraction form
    526,140/1,136,358 = 1,136,358/x
  3. Step 3: Cross multiply
    526,140x = 1,136,358 × 1,136,358
  4. Step 4: Simplify right side
    526,140x = 1,291,309,504,164
  5. Step 5: Solve for x
    x = 1,291,309,504,164/526,140
  6. Step 6: Final answer
    x = 2,454,307.80

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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.