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Finding the Third Proportional to 1,158,881 and 1,704,817.50

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Solution

The third proportional to 1,158,881 and 1,704,817.50 is: 2,507,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,881 : 1,704,817.50 = 1,704,817.50 : x
  2. Step 2: Convert to fraction form
    1,158,881/1,704,817.50 = 1,704,817.50/x
  3. Step 3: Cross multiply
    1,158,881x = 1,704,817.50 × 1,704,817.50
  4. Step 4: Simplify right side
    1,158,881x = 2,906,402,708,306.25
  5. Step 5: Solve for x
    x = 2,906,402,708,306.25/1,158,881
  6. Step 6: Final answer
    x = 2,507,938.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.