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Finding the Third Proportional to 859,009 and 1,696,335

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Solution

The third proportional to 859,009 and 1,696,335 is: 3,349,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,009 : 1,696,335 = 1,696,335 : x
  2. Step 2: Convert to fraction form
    859,009/1,696,335 = 1,696,335/x
  3. Step 3: Cross multiply
    859,009x = 1,696,335 × 1,696,335
  4. Step 4: Simplify right side
    859,009x = 2,877,552,432,225
  5. Step 5: Solve for x
    x = 2,877,552,432,225/859,009
  6. Step 6: Final answer
    x = 3,349,851.32

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.