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Finding the Third Proportional to 537,441 and 1,158,798

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Solution

The third proportional to 537,441 and 1,158,798 is: 2,498,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,441 : 1,158,798 = 1,158,798 : x
  2. Step 2: Convert to fraction form
    537,441/1,158,798 = 1,158,798/x
  3. Step 3: Cross multiply
    537,441x = 1,158,798 × 1,158,798
  4. Step 4: Simplify right side
    537,441x = 1,342,812,804,804
  5. Step 5: Solve for x
    x = 1,342,812,804,804/537,441
  6. Step 6: Final answer
    x = 2,498,530.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.