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Finding the Third Proportional to 670,732 and 1,046,934

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Solution

The third proportional to 670,732 and 1,046,934 is: 1,634,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,732 : 1,046,934 = 1,046,934 : x
  2. Step 2: Convert to fraction form
    670,732/1,046,934 = 1,046,934/x
  3. Step 3: Cross multiply
    670,732x = 1,046,934 × 1,046,934
  4. Step 4: Simplify right side
    670,732x = 1,096,070,800,356
  5. Step 5: Solve for x
    x = 1,096,070,800,356/670,732
  6. Step 6: Final answer
    x = 1,634,141.21

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