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Finding the Third Proportional to 802,352 and 1,708,672

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Solution

The third proportional to 802,352 and 1,708,672 is: 3,638,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,352 : 1,708,672 = 1,708,672 : x
  2. Step 2: Convert to fraction form
    802,352/1,708,672 = 1,708,672/x
  3. Step 3: Cross multiply
    802,352x = 1,708,672 × 1,708,672
  4. Step 4: Simplify right side
    802,352x = 2,919,560,003,584
  5. Step 5: Solve for x
    x = 2,919,560,003,584/802,352
  6. Step 6: Final answer
    x = 3,638,752.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.