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Finding the Third Proportional to 473,808 and 1,026,348

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Solution

The third proportional to 473,808 and 1,026,348 is: 2,223,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,808 : 1,026,348 = 1,026,348 : x
  2. Step 2: Convert to fraction form
    473,808/1,026,348 = 1,026,348/x
  3. Step 3: Cross multiply
    473,808x = 1,026,348 × 1,026,348
  4. Step 4: Simplify right side
    473,808x = 1,053,390,217,104
  5. Step 5: Solve for x
    x = 1,053,390,217,104/473,808
  6. Step 6: Final answer
    x = 2,223,242.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.