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Finding the Third Proportional to 670,282 and 1,460,988

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Solution

The third proportional to 670,282 and 1,460,988 is: 3,184,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,282 : 1,460,988 = 1,460,988 : x
  2. Step 2: Convert to fraction form
    670,282/1,460,988 = 1,460,988/x
  3. Step 3: Cross multiply
    670,282x = 1,460,988 × 1,460,988
  4. Step 4: Simplify right side
    670,282x = 2,134,485,936,144
  5. Step 5: Solve for x
    x = 2,134,485,936,144/670,282
  6. Step 6: Final answer
    x = 3,184,459.58

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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.