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Finding the Third Proportional to 535,088 and 1,158,385

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Solution

The third proportional to 535,088 and 1,158,385 is: 2,507,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,088 : 1,158,385 = 1,158,385 : x
  2. Step 2: Convert to fraction form
    535,088/1,158,385 = 1,158,385/x
  3. Step 3: Cross multiply
    535,088x = 1,158,385 × 1,158,385
  4. Step 4: Simplify right side
    535,088x = 1,341,855,808,225
  5. Step 5: Solve for x
    x = 1,341,855,808,225/535,088
  6. Step 6: Final answer
    x = 2,507,729.21

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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.