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Finding the Third Proportional to 867,548 and 1,296,210

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Solution

The third proportional to 867,548 and 1,296,210 is: 1,936,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,548 : 1,296,210 = 1,296,210 : x
  2. Step 2: Convert to fraction form
    867,548/1,296,210 = 1,296,210/x
  3. Step 3: Cross multiply
    867,548x = 1,296,210 × 1,296,210
  4. Step 4: Simplify right side
    867,548x = 1,680,160,364,100
  5. Step 5: Solve for x
    x = 1,680,160,364,100/867,548
  6. Step 6: Final answer
    x = 1,936,677.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.