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Finding the Third Proportional to 510,410 and 1,041,556

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Solution

The third proportional to 510,410 and 1,041,556 is: 2,125,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,410 : 1,041,556 = 1,041,556 : x
  2. Step 2: Convert to fraction form
    510,410/1,041,556 = 1,041,556/x
  3. Step 3: Cross multiply
    510,410x = 1,041,556 × 1,041,556
  4. Step 4: Simplify right side
    510,410x = 1,084,838,901,136
  5. Step 5: Solve for x
    x = 1,084,838,901,136/510,410
  6. Step 6: Final answer
    x = 2,125,426.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.