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Finding the Third Proportional to 670,264 and 1,460,952

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Solution

The third proportional to 670,264 and 1,460,952 is: 3,184,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,264 : 1,460,952 = 1,460,952 : x
  2. Step 2: Convert to fraction form
    670,264/1,460,952 = 1,460,952/x
  3. Step 3: Cross multiply
    670,264x = 1,460,952 × 1,460,952
  4. Step 4: Simplify right side
    670,264x = 2,134,380,746,304
  5. Step 5: Solve for x
    x = 2,134,380,746,304/670,264
  6. Step 6: Final answer
    x = 3,184,388.16

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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.