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Finding the Third Proportional to 474,397 and 1,036,346

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Solution

The third proportional to 474,397 and 1,036,346 is: 2,263,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,397 : 1,036,346 = 1,036,346 : x
  2. Step 2: Convert to fraction form
    474,397/1,036,346 = 1,036,346/x
  3. Step 3: Cross multiply
    474,397x = 1,036,346 × 1,036,346
  4. Step 4: Simplify right side
    474,397x = 1,074,013,031,716
  5. Step 5: Solve for x
    x = 1,074,013,031,716/474,397
  6. Step 6: Final answer
    x = 2,263,954.10

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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.