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Finding the Third Proportional to 802,912 and 1,174,210

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Solution

The third proportional to 802,912 and 1,174,210 is: 1,717,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,912 : 1,174,210 = 1,174,210 : x
  2. Step 2: Convert to fraction form
    802,912/1,174,210 = 1,174,210/x
  3. Step 3: Cross multiply
    802,912x = 1,174,210 × 1,174,210
  4. Step 4: Simplify right side
    802,912x = 1,378,769,124,100
  5. Step 5: Solve for x
    x = 1,378,769,124,100/802,912
  6. Step 6: Final answer
    x = 1,717,210.76

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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.