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Finding the Third Proportional to 634,348 and 916,522

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Solution

The third proportional to 634,348 and 916,522 is: 1,324,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,348 : 916,522 = 916,522 : x
  2. Step 2: Convert to fraction form
    634,348/916,522 = 916,522/x
  3. Step 3: Cross multiply
    634,348x = 916,522 × 916,522
  4. Step 4: Simplify right side
    634,348x = 840,012,576,484
  5. Step 5: Solve for x
    x = 840,012,576,484/634,348
  6. Step 6: Final answer
    x = 1,324,214.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.