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Finding the Third Proportional to 832,176 and 1,232,712

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Solution

The third proportional to 832,176 and 1,232,712 is: 1,826,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,176 : 1,232,712 = 1,232,712 : x
  2. Step 2: Convert to fraction form
    832,176/1,232,712 = 1,232,712/x
  3. Step 3: Cross multiply
    832,176x = 1,232,712 × 1,232,712
  4. Step 4: Simplify right side
    832,176x = 1,519,578,874,944
  5. Step 5: Solve for x
    x = 1,519,578,874,944/832,176
  6. Step 6: Final answer
    x = 1,826,030.64

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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.