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Finding the Third Proportional to 688,014 and 1,459,620

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Solution

The third proportional to 688,014 and 1,459,620 is: 3,096,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,014 : 1,459,620 = 1,459,620 : x
  2. Step 2: Convert to fraction form
    688,014/1,459,620 = 1,459,620/x
  3. Step 3: Cross multiply
    688,014x = 1,459,620 × 1,459,620
  4. Step 4: Simplify right side
    688,014x = 2,130,490,544,400
  5. Step 5: Solve for x
    x = 2,130,490,544,400/688,014
  6. Step 6: Final answer
    x = 3,096,580.22

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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.