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Finding the Third Proportional to 526,644 and 1,153,292

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Solution

The third proportional to 526,644 and 1,153,292 is: 2,525,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,644 : 1,153,292 = 1,153,292 : x
  2. Step 2: Convert to fraction form
    526,644/1,153,292 = 1,153,292/x
  3. Step 3: Cross multiply
    526,644x = 1,153,292 × 1,153,292
  4. Step 4: Simplify right side
    526,644x = 1,330,082,437,264
  5. Step 5: Solve for x
    x = 1,330,082,437,264/526,644
  6. Step 6: Final answer
    x = 2,525,581.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.