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Finding the Third Proportional to 902,643 and 1,946,349

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Solution

The third proportional to 902,643 and 1,946,349 is: 4,196,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,643 : 1,946,349 = 1,946,349 : x
  2. Step 2: Convert to fraction form
    902,643/1,946,349 = 1,946,349/x
  3. Step 3: Cross multiply
    902,643x = 1,946,349 × 1,946,349
  4. Step 4: Simplify right side
    902,643x = 3,788,274,429,801
  5. Step 5: Solve for x
    x = 3,788,274,429,801/902,643
  6. Step 6: Final answer
    x = 4,196,869.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.