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Finding the Third Proportional to 688,016 and 1,459,624

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Solution

The third proportional to 688,016 and 1,459,624 is: 3,096,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,016 : 1,459,624 = 1,459,624 : x
  2. Step 2: Convert to fraction form
    688,016/1,459,624 = 1,459,624/x
  3. Step 3: Cross multiply
    688,016x = 1,459,624 × 1,459,624
  4. Step 4: Simplify right side
    688,016x = 2,130,502,221,376
  5. Step 5: Solve for x
    x = 2,130,502,221,376/688,016
  6. Step 6: Final answer
    x = 3,096,588.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.