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Finding the Third Proportional to 832,188 and 1,232,730

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Solution

The third proportional to 832,188 and 1,232,730 is: 1,826,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,188 : 1,232,730 = 1,232,730 : x
  2. Step 2: Convert to fraction form
    832,188/1,232,730 = 1,232,730/x
  3. Step 3: Cross multiply
    832,188x = 1,232,730 × 1,232,730
  4. Step 4: Simplify right side
    832,188x = 1,519,623,252,900
  5. Step 5: Solve for x
    x = 1,519,623,252,900/832,188
  6. Step 6: Final answer
    x = 1,826,057.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.