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Finding the Third Proportional to 473,297 and 1,029,522

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Solution

The third proportional to 473,297 and 1,029,522 is: 2,239,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,297 : 1,029,522 = 1,029,522 : x
  2. Step 2: Convert to fraction form
    473,297/1,029,522 = 1,029,522/x
  3. Step 3: Cross multiply
    473,297x = 1,029,522 × 1,029,522
  4. Step 4: Simplify right side
    473,297x = 1,059,915,548,484
  5. Step 5: Solve for x
    x = 1,059,915,548,484/473,297
  6. Step 6: Final answer
    x = 2,239,430.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.