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Finding the Third Proportional to 802,348 and 1,708,664

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Solution

The third proportional to 802,348 and 1,708,664 is: 3,638,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,348 : 1,708,664 = 1,708,664 : x
  2. Step 2: Convert to fraction form
    802,348/1,708,664 = 1,708,664/x
  3. Step 3: Cross multiply
    802,348x = 1,708,664 × 1,708,664
  4. Step 4: Simplify right side
    802,348x = 2,919,532,664,896
  5. Step 5: Solve for x
    x = 2,919,532,664,896/802,348
  6. Step 6: Final answer
    x = 3,638,736.14

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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.