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Finding the Third Proportional to 832,042 and 1,703,510

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Solution

The third proportional to 832,042 and 1,703,510 is: 3,487,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,042 : 1,703,510 = 1,703,510 : x
  2. Step 2: Convert to fraction form
    832,042/1,703,510 = 1,703,510/x
  3. Step 3: Cross multiply
    832,042x = 1,703,510 × 1,703,510
  4. Step 4: Simplify right side
    832,042x = 2,901,946,320,100
  5. Step 5: Solve for x
    x = 2,901,946,320,100/832,042
  6. Step 6: Final answer
    x = 3,487,740.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.