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Finding the Third Proportional to 1,696,410 and 3,658,520

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Solution

The third proportional to 1,696,410 and 3,658,520 is: 7,890,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,410 : 3,658,520 = 3,658,520 : x
  2. Step 2: Convert to fraction form
    1,696,410/3,658,520 = 3,658,520/x
  3. Step 3: Cross multiply
    1,696,410x = 3,658,520 × 3,658,520
  4. Step 4: Simplify right side
    1,696,410x = 13,384,768,590,400
  5. Step 5: Solve for x
    x = 13,384,768,590,400/1,696,410
  6. Step 6: Final answer
    x = 7,890,055.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.