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Finding the Third Proportional to 670,464 and 1,459,008

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Solution

The third proportional to 670,464 and 1,459,008 is: 3,174,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,464 : 1,459,008 = 1,459,008 : x
  2. Step 2: Convert to fraction form
    670,464/1,459,008 = 1,459,008/x
  3. Step 3: Cross multiply
    670,464x = 1,459,008 × 1,459,008
  4. Step 4: Simplify right side
    670,464x = 2,128,704,344,064
  5. Step 5: Solve for x
    x = 2,128,704,344,064/670,464
  6. Step 6: Final answer
    x = 3,174,971.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.