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Finding the Third Proportional to 475,412 and 1,044,124

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Solution

The third proportional to 475,412 and 1,044,124 is: 2,293,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,412 : 1,044,124 = 1,044,124 : x
  2. Step 2: Convert to fraction form
    475,412/1,044,124 = 1,044,124/x
  3. Step 3: Cross multiply
    475,412x = 1,044,124 × 1,044,124
  4. Step 4: Simplify right side
    475,412x = 1,090,194,927,376
  5. Step 5: Solve for x
    x = 1,090,194,927,376/475,412
  6. Step 6: Final answer
    x = 2,293,158.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.