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Finding the Third Proportional to 670,359 and 937,701

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Solution

The third proportional to 670,359 and 937,701 is: 1,311,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,359 : 937,701 = 937,701 : x
  2. Step 2: Convert to fraction form
    670,359/937,701 = 937,701/x
  3. Step 3: Cross multiply
    670,359x = 937,701 × 937,701
  4. Step 4: Simplify right side
    670,359x = 879,283,165,401
  5. Step 5: Solve for x
    x = 879,283,165,401/670,359
  6. Step 6: Final answer
    x = 1,311,660.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.