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Finding the Third Proportional to 526,534 and 1,137,120

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Solution

The third proportional to 526,534 and 1,137,120 is: 2,455,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,534 : 1,137,120 = 1,137,120 : x
  2. Step 2: Convert to fraction form
    526,534/1,137,120 = 1,137,120/x
  3. Step 3: Cross multiply
    526,534x = 1,137,120 × 1,137,120
  4. Step 4: Simplify right side
    526,534x = 1,293,041,894,400
  5. Step 5: Solve for x
    x = 1,293,041,894,400/526,534
  6. Step 6: Final answer
    x = 2,455,761.44

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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.