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Finding the Third Proportional to 526,481 and 1,137,022.50

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Solution

The third proportional to 526,481 and 1,137,022.50 is: 2,455,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,481 : 1,137,022.50 = 1,137,022.50 : x
  2. Step 2: Convert to fraction form
    526,481/1,137,022.50 = 1,137,022.50/x
  3. Step 3: Cross multiply
    526,481x = 1,137,022.50 × 1,137,022.50
  4. Step 4: Simplify right side
    526,481x = 1,292,820,165,506.25
  5. Step 5: Solve for x
    x = 1,292,820,165,506.25/526,481
  6. Step 6: Final answer
    x = 2,455,587.51

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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.