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Finding the Third Proportional to 526,101 and 1,140,735

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Solution

The third proportional to 526,101 and 1,140,735 is: 2,473,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,101 : 1,140,735 = 1,140,735 : x
  2. Step 2: Convert to fraction form
    526,101/1,140,735 = 1,140,735/x
  3. Step 3: Cross multiply
    526,101x = 1,140,735 × 1,140,735
  4. Step 4: Simplify right side
    526,101x = 1,301,276,340,225
  5. Step 5: Solve for x
    x = 1,301,276,340,225/526,101
  6. Step 6: Final answer
    x = 2,473,434.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.