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Finding the Third Proportional to 670,728 and 1,046,928

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Solution

The third proportional to 670,728 and 1,046,928 is: 1,634,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,728 : 1,046,928 = 1,046,928 : x
  2. Step 2: Convert to fraction form
    670,728/1,046,928 = 1,046,928/x
  3. Step 3: Cross multiply
    670,728x = 1,046,928 × 1,046,928
  4. Step 4: Simplify right side
    670,728x = 1,096,058,237,184
  5. Step 5: Solve for x
    x = 1,096,058,237,184/670,728
  6. Step 6: Final answer
    x = 1,634,132.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.