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Finding the Third Proportional to 702,426 and 1,511,484

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Solution

The third proportional to 702,426 and 1,511,484 is: 3,252,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,426 : 1,511,484 = 1,511,484 : x
  2. Step 2: Convert to fraction form
    702,426/1,511,484 = 1,511,484/x
  3. Step 3: Cross multiply
    702,426x = 1,511,484 × 1,511,484
  4. Step 4: Simplify right side
    702,426x = 2,284,583,882,256
  5. Step 5: Solve for x
    x = 2,284,583,882,256/702,426
  6. Step 6: Final answer
    x = 3,252,419.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.