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Finding the Third Proportional to 832,152 and 1,218,606

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Solution

The third proportional to 832,152 and 1,218,606 is: 1,784,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,152 : 1,218,606 = 1,218,606 : x
  2. Step 2: Convert to fraction form
    832,152/1,218,606 = 1,218,606/x
  3. Step 3: Cross multiply
    832,152x = 1,218,606 × 1,218,606
  4. Step 4: Simplify right side
    832,152x = 1,485,000,583,236
  5. Step 5: Solve for x
    x = 1,485,000,583,236/832,152
  6. Step 6: Final answer
    x = 1,784,530.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.