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Finding the Third Proportional to 688,862 and 1,459,672

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Solution

The third proportional to 688,862 and 1,459,672 is: 3,092,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,862 : 1,459,672 = 1,459,672 : x
  2. Step 2: Convert to fraction form
    688,862/1,459,672 = 1,459,672/x
  3. Step 3: Cross multiply
    688,862x = 1,459,672 × 1,459,672
  4. Step 4: Simplify right side
    688,862x = 2,130,642,347,584
  5. Step 5: Solve for x
    x = 2,130,642,347,584/688,862
  6. Step 6: Final answer
    x = 3,092,988.65

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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.